Algebra and Applications – serie
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57 produkter
Graded Syzygies
Av Irena Peeva
Inbunden, 2010
1533 kr
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The study of free resolutions is a core and beautiful area in Commutative Algebra. The main goal of this book is to inspire the readers and develop their intuition about syzygies and Hilbert functions. Many examples are given in order to illustrate ideas and key concepts.A valuable feature of the …
Representations of Hecke Algebras at Roots of Unity
Av Meinolf Geck, Nicolas Jacon
Inbunden, 2011
1315 kr
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The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years. In classifying the irreducible representations of Iwahori-Hecke algebras …
On Normalized Integral Table Algebras (Fusion Rings)
Generated by a Faithful Non-real Element of Degree 3
Av Zvi Arad, Xu Bangteng m. fl.
Inbunden, 2011
552 kr
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The theory of table algebras was introduced in 1991 by Z. Arad and H. Blau in order to treat, in a uniform way, products of conjugacy classes and irreducible characters of finite groups. Today, table algebra theory is a well-established branch of modern algebra with various applications, including …
Introduction to Group Rings
Av César Polcino Milies, S.K. Sehgal
Inbunden, 2002
1752 kr
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to Group Rings by Cesar Polcino Milies Instituto de Matematica e Estatistica, Universidade de sao Paulo, sao Paulo, Brasil and Sudarshan K. Sehgal Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton. Canada SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. A c.I.P. Catalogue …
Introduction to Group Rings
Av César Polcino Milies, S.K. Sehgal
Häftad, 2002
1752 kr
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to Group Rings by Cesar Polcino Milies Instituto de Matematica e Estatistica, Universidade de sao Paulo, sao Paulo, Brasil and Sudarshan K. Sehgal Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton. Canada SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. A c.I.P. Catalogue …
Endomorphism Rings of Abelian Groups
Av P.A. Krylov, Alexander V. Mikhalev m. fl.
Inbunden, 2003
552 kr
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Every Abelian group can be related to an associative ring with an identity element, the ring of all its endomorphisms. Recently the theory of endomor phism rings of Abelian groups has become a rapidly developing area of algebra. On the one hand, it can be considered as a part of the theory of …
Cohomology Rings of Finite Groups
With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64
Av Jon F. Carlson, L. Townsley m. fl.
Inbunden, 2003
1098 kr
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Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con nection with …
Resolution of Curve and Surface Singularities in Characteristic Zero
Av K. Kiyek, J.L. Vicente
Inbunden, 2004
552 kr
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The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus …
Automorphic Forms and Lie Superalgebras
Av Urmie Ray
Inbunden, 2006
552 kr
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A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebra of physical states of a chiral string on an orbifold of a 26 dimensional torus, called the Monster Lie algebra. It is a Borcherds-Kac-Moody Lie …
Topics in Geometry, Coding Theory and Cryptography
Av Arnaldo Garcia, Henning Stichtenoth
Inbunden, 2006
552 kr
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The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory, such as coding theory, …
Noetherian Semigroup Algebras
Inbunden, 2007
1098 kr
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The ?rst aim of this work is to present the main results and methods of the theory of Noetherian semigroup algebras. These general results are then applied and illustrated in the context of certain interesting and important concrete classes of algebras that arise in a variety of areas and have been …
Difference Algebra
Inbunden, 2008
1098 kr
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Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields. The first stage of this development of the theory is associated with its founder, J.F. Ritt (1893-1951), and R. Cohn, whose book Difference Algebra (1965) remained the only …
Syzygies and Homotopy Theory
Inbunden, 2011
552 kr
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The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well understood. …
Group and Ring Theoretic Properties of Polycyclic Groups
Häftad, 2012
552 kr
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Polycyclic groups are built from cyclic groups in a specific way. They arise in many contexts within group theory itself but also more generally in algebra, for example in the theory of Noetherian rings. The first half of this book develops the standard group theoretic techniques for studying …
Specialization of Quadratic and Symmetric Bilinear Forms
Häftad, 2012
552 kr
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A Mathematician Said Who Can Quote Me a Theorem that’s True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick ?rst came to my ears in May 1998 during a talk by T.Y. Lam 1 on ?eld invariants from the theory of quadratic forms. It is—poetic exaggeration …
Graded Syzygies
Av Irena Peeva
Häftad, 2013
1534 kr
Lägg i varukorg
The study of free resolutions is a core and beautiful area in Commutative Algebra. The main goal of this book is to inspire the readers and develop their intuition about syzygies and Hilbert functions. Many examples are given in order to illustrate ideas and key concepts.A valuable feature of the …
Representations of Hecke Algebras at Roots of Unity
Av Meinolf Geck, Nicolas Jacon
Häftad, 2013
1316 kr
Lägg i varukorg
The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years. In classifying the irreducible representations of Iwahori-Hecke algebras …
On Normalized Integral Table Algebras (Fusion Rings)
Generated by a Faithful Non-real Element of Degree 3
Av Zvi Arad, Xu Bangteng m. fl.
Häftad, 2013
552 kr
Lägg i varukorg
The theory of table algebras was introduced in 1991 by Z. Arad and H. Blau in order to treat, in a uniform way, products of conjugacy classes and irreducible characters of finite groups. Today, table algebra theory is a well-established branch of modern algebra with various applications, including …
Local Structure of Algebraic K-Theory
Av Bjørn Ian Dundas, Thomas G. Goodwillie m. fl.
Inbunden, 2012
1316 kr
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Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's …
Syzygies and Homotopy Theory
Häftad, 2014
552 kr
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The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well understood. …
Local Structure of Algebraic K-Theory
Av Bjørn Ian Dundas, Thomas G. Goodwillie m. fl.
Häftad, 2014
1316 kr
Lägg i varukorg
Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's …
Classical Finite Transformation Semigroups
An Introduction
Av Olexandr Ganyushkin, Volodymyr Mazorchuk
Inbunden, 2008
1098 kr
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The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation …
Specialization of Quadratic and Symmetric Bilinear Forms
Inbunden, 2010
551 kr
Lägg i varukorg
A Mathematician Said Who Can Quote Me a Theorem that’s True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick ?rst came to my ears in May 1998 during a talk by T.Y. Lam 1 on ?eld invariants from the theory of quadratic forms. It is—poetic exaggeration …
Group and Ring Theoretic Properties of Polycyclic Groups
Inbunden, 2009
551 kr
Lägg i varukorg
Polycyclic groups are built from cyclic groups in a specific way. They arise in many contexts within group theory itself but also more generally in algebra, for example in the theory of Noetherian rings. The first half of this book develops the standard group theoretic techniques for studying …
Classical Finite Transformation Semigroups
An Introduction
Av Olexandr Ganyushkin, Volodymyr Mazorchuk
Häftad, 2010
1098 kr
Lägg i varukorg
The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation …
Quadratic Forms
Combinatorics and Numerical Results
Av Michael Barot, Jesús Arturo Jiménez González m. fl.
Inbunden, 2019
1316 kr
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This monograph presents combinatorial and numerical issues on integral quadratic forms as originally obtained in the context of representation theory of algebras and derived categories. Some of these beautiful results remain practically unknown to students and scholars, and are scattered in papers …
Simplicial Methods for Higher Categories
Segal-type Models of Weak n-Categories
Av Simona Paoli
Inbunden, 2019
923 kr
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This monograph presents a new model of mathematical structures called weak n-categories. These structures find their motivation in a wide range of fields, from algebraic topology to mathematical physics, algebraic geometry and mathematical logic.While strict n-categories are easily defined in terms …
Kazhdan-Lusztig Cells with Unequal Parameters
Häftad, 2018
1207 kr
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This monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the broader context of the unequal parameter case.Serving as a useful reference, the present volume offers a synthesis of significant advances made since Lusztig’s seminal work on the subject was …
Skew PBW Extensions
Ring and Module-theoretic Properties, Matrix and Gröbner Methods, and Applications
Av William Fajardo, Claudia Gallego m. fl.
Inbunden, 2020
1425 kr
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This monograph is devoted to a new class of non-commutative rings, skew Poincaré–Birkhoff–Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW extensions from a …
Skew PBW Extensions
Ring and Module-theoretic Properties, Matrix and Gröbner Methods, and Applications
Av William Fajardo, Claudia Gallego m. fl.
Häftad, 2021
1425 kr
Lägg i varukorg
This monograph is devoted to a new class of non-commutative rings, skew Poincaré–Birkhoff–Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW extensions from a …
