Armand Borel – författare

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22 produkter

Automorphic Forms on SL2 (R)
AvArmand Borel
E-bok
PDF, Engelska, 1997
893 kr
Läs direkt efter köp
This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this is introduced in the last sections, making this connection explicit. The topics treated include the construction of fundamental domains, the notion of automorphic form on G\G and its relationship with the classical automorphic forms on X, Poincare series, constant terms, cusp forms, finite dimensionality of the space of automorphic forms of a given type, compactness of certain convolution operators, Eisenstein series, unitary representations of G, and the spectral decomposition of L2 (G\G). The main prerequisites are some results in functional analysis (reviewed, with references) and some familiarity with the elementary theory of Lie groups and Lie algebras. Graduate students and researchers in analytic number theory will find much to interest them in this book.
Del 130 - Cambridge Tracts in Mathematics
Automorphic Forms on SL2 (R)
AvArmand Borel
Häftad, Engelska, 2008
908 kr
Skickas inom 5-8 vardagar
This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this is introduced in the last sections, making this connection explicit. The topics treated include the construction of fundamental domains, the notion of automorphic form on G\G and its relationship with the classical automorphic forms on X, Poincare series, constant terms, cusp forms, finite dimensionality of the space of automorphic forms of a given type, compactness of certain convolution operators, Eisenstein series, unitary representations of G, and the spectral decomposition of L2 (G\G). The main prerequisites are some results in functional analysis (reviewed, with references) and some familiarity with the elementary theory of Lie groups and Lie algebras. Graduate students and researchers in analytic number theory will find much to interest them in this book.
Del 130 - Cambridge Tracts in Mathematics
Automorphic Forms on SL2 (R)
AvArmand Borel,Bela Bollobasm. fl.
Inbunden, Engelska, 1997
1 944 kr
Skickas inom 5-8 vardagar
This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this is introduced in the last sections, making this connection explicit. The topics treated include the construction of fundamental domains, the notion of automorphic form on G\G and its relationship with the classical automorphic forms on X, Poincare series, constant terms, cusp forms, finite dimensionality of the space of automorphic forms of a given type, compactness of certain convolution operators, Eisenstein series, unitary representations of G, and the spectral decomposition of L2 (G\G). The main prerequisites are some results in functional analysis (reviewed, with references) and some familiarity with the elementary theory of Lie groups and Lie algebras. Graduate students and researchers in analytic number theory will find much to interest them in this book.
Seminar on Transformation Groups
AvArmand Borel
Häftad, Engelska, 1961
822 kr
Skickas inom 5-8 vardagar
The description for this book, Seminar on Transformation Groups. (AM-46), will be forthcoming.
Compactifications of Symmetric and Locally Symmetric Spaces
AvArmand Borel,Lizhen Ji
Inbunden, Engelska, 2005
1 456 kr
Skickas inom 10-15 vardagar
Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures.The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces.Familiarity with the theory of semisimple Lie groups is assumed, as is familiarity with algebraic groups defined over the rational numbers in later parts of the book, although most of the pertinent material is recalled as presented. Otherwise, the book is a self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to diverse fields of mathematics.
Compactifications of Symmetric and Locally Symmetric Spaces
AvLizhen Ji,Armand Borel
E-bok
PDF, Engelska, 2006
1 746 kr
Läs direkt efter köp
Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures.
The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces.
Familiarity with the theory of semisimple Lie groups is assumed, as is familiarity with algebraic groups defined over the rational numbers in later parts of the book, although most of the pertinent material is recalled as presented. Otherwise, the book is a self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to diverse fields of mathematics.
Intersection Cohomology
AvArmand Borel
Häftad, Engelska, 2008
1 345 kr
Skickas inom 10-15 vardagar
This volume contains the Notes of a seminar on Intersection Ho- logy which met weekly during the Spring 1983 at the University of Bern, Switzerland. Its main purpose was to give an introduction to the pie- wise linear and sheaf theoretic aspects of the theory Goresky and R. MacPherson, Topology 19(1980) 135-162, Inv. Math. 72(1983) 17-130) and to some of its applications, for an audience assumed to have some familiarity with algebraic topology and sheaf theory. These Notes can be divided roughly into three parts. The first one to is chiefly devoted to the piecewise linear version of the theory: In A. Haefliger describes intersection homology in the piecewise linear context; II, by N. Habegger, prepares the transition to the sheaf theoretic point of view and III, by M. Goresky and R. Mac- Pherson, provides an example of computation of intersection homology. The spaces on which intersection homology is defined are assumed to admit topological stratifications with strong local triviality p- perties (cf I or V). Chapter IV, by N. A'Campo, gives some indications on how the existence of such stratifications is proved on complex analytic spaces. The primary goal of V is to describe intersection homology, or rather cohomology, in the framework of sheaf theory and to prove its main basic properties, following the second paper quoted above. Fa- liarity with standard sheaf theory, as in Godement's book, is assumed.
Intersection Cohomology
AvArmand Borel
E-bok
PDF, Engelska, 2009
1 682 kr
Läs direkt efter köp
This volume contains the Notes of a seminar on Intersection Ho- logy which met weekly during the Spring 1983 at the University of Bern, Switzerland. Its main purpose was to give an introduction to the pie- wise linear and sheaf theoretic aspects of the theory Goresky and R. MacPherson, Topology 19(1980) 135-162, Inv. Math. 72(1983) 17-130) and to some of its applications, for an audience assumed to have some familiarity with algebraic topology and sheaf theory. These Notes can be divided roughly into three parts. The first one to is chiefly devoted to the piecewise linear version of the theory: In A. Haefliger describes intersection homology in the piecewise linear context; II, by N. Habegger, prepares the transition to the sheaf theoretic point of view and III, by M. Goresky and R. Mac- Pherson, provides an example of computation of intersection homology. The spaces on which intersection homology is defined are assumed to admit topological stratifications with strong local triviality p- perties (cf I or V). Chapter IV, by N. A''Campo, gives some indications on how the existence of such stratifications is proved on complex analytic spaces. The primary goal of V is to describe intersection homology, or rather cohomology, in the framework of sheaf theory and to prove its main basic properties, following the second paper quoted above. Fa- liarity with standard sheaf theory, as in Godement''s book, is assumed.
Automorphic Forms, Representations and L-Functions
AvW. Casselman,Armand Borel
Häftad, Engelska, 1979
1 656 kr
Skickas inom 5-8 vardagar
Contains sections on Reductive groups, representations, Automorphic forms and representations.
Seminar on Transformation Groups
AvArmand Borel
E-bok
PDF, Engelska, 2016
1 144 kr
Läs direkt efter köp
Armond Borel’s influential seminar on transformation groups from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.To mark the continued success of the series, all books are available in paperback and as ebooks.
Linear Algebraic Groups
AvArmand Borel
E-bok
PDF, Engelska, 2012
797 kr
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This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally''s structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over non-algebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs.
Del 126 - Graduate Texts in Mathematics
Linear Algebraic Groups
AvArmand Borel
Häftad, Engelska, 2012
676 kr
Skickas inom 10-15 vardagar
This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally's structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over non-algebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs.
Introduction to Arithmetic Groups
AvArmand Borel
Häftad, Engelska, 2019
825 kr
Skickas inom 5-8 vardagar
Fifty years after it made the transition from mimeographed lecture notes to a published book, Armand Borel's Introduction aux groupes arithmetiques continues to be very important for the theory of arithmetic groups. In particular, Chapter III of the book remains the standard reference for fundamental results on reduction theory, which is crucial in the study of discrete subgroups of Lie groups and the corresponding homogeneous spaces.The review of the original French version in Mathematical Reviews observes that "the style is concise and the proofs (in later sections) are often demanding of the reader." To make the translation more approachable, numerous footnotes provide helpful comments.
Del 2 - Lecture Notes in Mathematics
Cohomologie des espaces localement compacts d'apres J. Leray
Exposes faits au Seminaire de topologie algebrique de l'Ecole polytechnique federale au printemps 1951
AvArmand Borel
Häftad, Franska, 1964
230 kr
Skickas inom 10-15 vardagar
Del 36 - Lecture Notes in Mathematics
Topics in the Homology Theory of Fibre Bundles
Lectures Given at the University of Chicago, 1954
AvArmand Borel
Häftad, Engelska, 1967
319 kr
Skickas inom 10-15 vardagar
Del 131 - Lecture Notes in Mathematics
Seminar on Algebraic Groups and Related Finite Groups
Held at the Institute for Advanced Study, Princeton/NJ, 1968/69
AvArmand Borel,R. W. Carterm. fl.
Häftad, Engelska, 1970
397 kr
Skickas inom 10-15 vardagar
Topics in the Homology Theory of Fibre Bundles
Lectures Given at the University of Chicago, 1954
AvArmand Borel
E-bok
PDF, Engelska, 2006
399 kr
Läs direkt efter köp
Seminar on Algebraic Groups and Related Finite Groups
Held at the Institute for Advanced Study, Princeton/NJ, 1968/69
AvRobert Steinberg,T. A. Springerm. fl.
E-bok
PDF, Engelska, 2006
431 kr
Läs direkt efter köp
Cohomologie des espaces localement compacts d'apres J. Leray
Exposes faits au Seminaire de topologie algebrique de l''Ecole polytechnique federale au printemps 1951
AvArmand Borel
E-bok
PDF, Franska, 2006
190 kr
Läs direkt efter köp
Oeuvres - Collected Papers IV
1983 - 1999
AvArmand Borel
Häftad, Engelska, 2013
732 kr
Skickas inom 10-15 vardagar
This book collects the papers published by A. Borel from 1983 to 1999. About half of them are research papers, written on his own or in collaboration, on various topics pertaining mainly to algebraic or Lie groups, homogeneous spaces, arithmetic groups (L2-spectrum, automorphic forms, cohomology and covolumes), L2-cohomology of symmetric or locally symmetric spaces, and to the Oppenheim conjecture. Other publications include surveys and personal recollections (of D. Montgomery, Harish-Chandra, and A. Weil), considerations on mathematics in general and several articles of a historical nature: on the School of Mathematics at the Institute for Advanced Study, on N. Bourbaki and on selected aspects of the works of H. Weyl, C. Chevalley, E. Kolchin, J. Leray, and A. Weil. The book concludes with an essay on H. Poincaré and special relativity. Some comments on, and corrections to, a number of papers have also been added.
Oeuvres - Collected Papers II
1959 - 1968
AvArmand Borel
Häftad, Engelska, 2014
732 kr
Skickas inom 10-15 vardagar
Armand Borel’s mathematical work centered on the theory of Lie groups. Because of the increasingly important place of this theory in the whole of mathematics, Borel’s work influenced some of the most important developments of contemporary mathematics. His first great achievement was to apply to Lie groups and homogenous spaces the powerful techniques of algebraic topology developed by Leray, Cartan and Steenrod. In 1992, Borel was awarded the International Balzan Prize for Mathematics "for his fundamental contributions to the theory of Lie groups, algebraic groups and arithmetic groups, and for his indefatigable action in favor of high quality in mathematical research and of the propagation of new ideas." He wrote more than 145 articles before 1982, which were collected in three volumes published in 1983. A fourth volume of subsequent articles was published in 2001. Volume II collects the papers written from 1959 to 1968.
Oeuvres - Collected Papers III
1969 - 1982
AvArmand Borel
Häftad, Engelska, 2014
732 kr
Skickas inom 10-15 vardagar
Armand Borel’s mathematical work centered on the theory of Lie groups. Because of the increasingly important place of this theory in the whole of mathematics, Borel’s work influenced some of the most important developments of contemporary mathematics. His first great achievement was to apply to Lie groups and homogenous spaces the powerful techniques of algebraic topology developed by Leray, Cartan and Steenrod. In 1992, Borel was awarded the International Balzan Prize for Mathematics "for his fundamental contributions to the theory of Lie groups, algebraic groups and arithmetic groups and for his indefatigable action in favor of high quality in mathematical research and of the propagation of new ideas." He wrote more than 145 articles before 1982, which were collected in three volumes published in 1983. A fourth volume of subsequent articles was published in 2001. Volume III collects the papers written from 1969 to 1982.

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Armand Borel – författare

Automorphic Forms on SL2 (R)

Automorphic Forms on SL2 (R)

Automorphic Forms on SL2 (R)

Seminar on Transformation Groups

Compactifications of Symmetric and Locally Symmetric Spaces

Compactifications of Symmetric and Locally Symmetric Spaces

Intersection Cohomology

Intersection Cohomology

Automorphic Forms, Representations and L-Functions

Seminar on Transformation Groups

Linear Algebraic Groups

Linear Algebraic Groups

Introduction to Arithmetic Groups

Cohomologie des espaces localement compacts d'apres J. Leray

Topics in the Homology Theory of Fibre Bundles

Seminar on Algebraic Groups and Related Finite Groups

Topics in the Homology Theory of Fibre Bundles

Seminar on Algebraic Groups and Related Finite Groups

Cohomologie des espaces localement compacts d'apres J. Leray

Oeuvres - Collected Papers IV

Oeuvres - Collected Papers II

Oeuvres - Collected Papers III

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