Vladimir K. Dobrev – författare & böcker

Noncompact Semisimple Lie Algebras and Groups

E-bok

PDF, Engelska, 2016

2 278 kr

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With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups.

Contents:IntroductionLie Algebras and GroupsReal Semisimple Lie AlgebrasInvariant Differential OperatorsCase of the Anti-de Sitter GroupConformal Case in 4DKazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant EquationsInvariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie AlgebrasMultilinear Invariant Differential Operators from New Generalized Verma ModulesBibliographyAuthor IndexSubject Index

Noncompact Semisimple Lie Algebras and Groups

AvVladimir K. Dobrev

E-bok

Engelska, 2016

2 278 kr

Läs direkt efter köp

With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups.

Contents:IntroductionLie Algebras and GroupsReal Semisimple Lie AlgebrasInvariant Differential OperatorsCase of the Anti-de Sitter GroupConformal Case in 4DKazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant EquationsInvariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie AlgebrasMultilinear Invariant Differential Operators from New Generalized Verma ModulesBibliographyAuthor IndexSubject Index

Noncompact Semisimple Lie Algebras and Groups

AvVladimir K. Dobrev

Inbunden, Engelska, 2016

2 253 kr

Skickas inom 5-8 vardagar

With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents:IntroductionLie Algebras and GroupsReal Semisimple Lie AlgebrasInvariant Differential OperatorsCase of the Anti-de Sitter GroupConformal Case in 4DKazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant EquationsInvariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie AlgebrasMultilinear Invariant Differential Operators from New Generalized Verma ModulesBibliographyAuthor IndexSubject Index

Quantum Groups

AvVladimir K. Dobrev

Inbunden, Engelska, 2017

2 253 kr

Skickas inom 5-8 vardagar

With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups. ContentsQuantum Groups and Quantum AlgebrasHighest-Weight Modules over Quantum AlgebrasPositive-Energy Representations of Noncompact Quantum AlgebrasDuality for Quantum GroupsInvariant q-Difference OperatorsInvariant q-Difference Operators Related to GLq(n)q-Maxwell Equations Hierarchies

Del 49 - De Gruyter Studies in Mathematical Physics

Supersymmetry

AvVladimir K. Dobrev

Inbunden, Engelska, 2018

1 739 kr

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With applications in quantum field theory, general relativity and elementary particle physics, this four-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This third volume covers supersymmetry, including detailed coverage of conformal supersymmetry in four and some higher dimensions, furthermore quantum superalgebras are also considered. Contents Lie superalgebras Conformal supersymmetry in 4D Examples of conformal supersymmetry for D > 4 Quantum superalgebras

Supersymmetry

AvVladimir K. Dobrev

E-bok

Engelska, 2018

1 759 kr

Läs direkt efter köp

With applications in quantum field theory, general relativity and elementary particle physics, this four-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This third volume covers supersymmetry, including detailed coverage of conformal supersymmetry in four and some higher dimensions, furthermore quantum superalgebras are also considered.

Contents Lie superalgebras Conformal supersymmetry in 4D Examples of conformal supersymmetry for D > 4 Quantum superalgebras

Supersymmetry

AvVladimir K. Dobrev

E-bok

PDF, Engelska, 2018

1 759 kr

Läs direkt efter köp

With applications in quantum field theory, general relativity and elementary particle physics, this four-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This third volume covers supersymmetry, including detailed coverage of conformal supersymmetry in four and some higher dimensions, furthermore quantum superalgebras are also considered.

Contents Lie superalgebras Conformal supersymmetry in 4D Examples of conformal supersymmetry for D > 4 Quantum superalgebras

AdS/CFT, (Super-)Virasoro, Affine (Super-)Algebras

AvVladimir K. Dobrev

Inbunden, Engelska, 2019

1 679 kr

Skickas inom 5-8 vardagar

With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This fourth volume covers AdS/CFT, Virasoro and affine (super-)algebras.

AdS/CFT, (Super-)Virasoro, Affine (Super-)Algebras

AvVladimir K. Dobrev

E-bok

Engelska, 2019

1 697 kr

Läs direkt efter köp

With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras.

This fourth volume covers AdS/CFT, Virasoro and affine (super-)algebras.

AdS/CFT, (Super-)Virasoro, Affine (Super-)Algebras

AvVladimir K. Dobrev

E-bok

PDF, Engelska, 2019

1 697 kr

Läs direkt efter köp

With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras.

This fourth volume covers AdS/CFT, Virasoro and affine (super-)algebras.

Quantum Symmetries - Proceedings Of The International Workshop On Mathematical Physics

AvH D DOEBNER,Heinz-dietrich Doebnerm. fl.

Inbunden, Engelska, 1993

2 138 kr

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Quantum symmetry modelled through quantum group or its dual, quantum algebra, is a very active field of relevant physical and mathematical research stimulated often by physical intuition and with promising physical applications. This volume gives some information on the progress of this field during the years after the quantum group workshop in Clausthal 1989. Quantum symmetry is connected with very different approaches and views. The field is not yet coherent; there are different notions of quantum groups and of quantum algebras through algebraic deformations of groups and algebras. Hence its development has various directions following more special mathematical and physical interests.

USHVERIDZE K DOBREV DOBRE G H-D DOEBNER, Heinz-dietrich Doebner, A G Ushveridze, Vladimir K Dobrev - Generalized Symmetries In Physics - Proceedings Of The International Symposium On Mathematical Physics, Inbunden

Generalized Symmetries In Physics - Proceedings Of The International Symposium On Mathematical Physics

AvUSHVERIDZE K DOBREV DOBRE G H-D DOEBNER,Heinz-dietrich Doebnerm. fl.

Inbunden, Engelska, 1994

2 479 kr

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This volume contains material submitted to a symposium on mathematical physics in July 1993 at the Technical University of Clausthal. It focuses on mathematical and physical notions of symmetries, especially on generalized and quantum symmetries (quantum groups and algebras) with applications to integrable systems, quasi-exact solvability, quantization methods and nonlinear problems. The workshop is a continuation of the series of meetings and workshops on mathematical physics in Clausthal which brings together mathematicians, theoretical and mathematical physicists working in the different parts of generalized symmetries. Recent developments in the mathematical structure and physical applications of generalized symmetries are discussed.

DOBRE NATTERMANN K DOBREV D H D DOEBNER, Heinz-dietrich Doebner, P Nattermann, Vladimir K Dobrev - Nonlinear, Deformed And Irreversible Quantum Systems - Proceedings Of The International Symposium On Mathematical Physics, Inbunden

Nonlinear, Deformed And Irreversible Quantum Systems - Proceedings Of The International Symposium On Mathematical Physics

AvDOBRE NATTERMANN K DOBREV D H D DOEBNER,Heinz-dietrich Doebnerm. fl.

Inbunden, Engelska, 1995

2 743 kr

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In recent years nonlinear and irreversible quantum mechanics is becoming increasingly important because of the availability of precision experiments. There are new and successful attempts to understand quantum irreversibility. The development of generalized symmetries has to led to new families of evolution equations for pure and mixed states. On the one hand, this timely symposium covers nonlinear and irreversible quantum mechanics, the theory of quantization methods, causality and various problems important in this context. On the other hand, it reports the development of quantum group symmetries, and of methods to construct deformed quantum mechanical evolution equations like the q-deformed Schrödinger equations.

DOBRE HILGERT K DOBREV DOBR H D DOEBNER, Vladimir K Dobrev, Heinz-dietrich Doebner, Joachim Hilgert - Lie Theory And Its Applications In Physics - Proceedings Of An International Workshop, Inbunden

Lie Theory And Its Applications In Physics - Proceedings Of An International Workshop

AvDOBRE HILGERT K DOBREV DOBR H D DOEBNER,Vladimir K Dobrevm. fl.

Inbunden, Engelska, 1996

1 599 kr

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There is an apparent trend towards geometrization of physical theories. During the last 20 years, the most successful mathematical models for the description and understanding of physical systems have been based on the Lie theory in its widest sense and various generalizations, for example, deformations of it.This proceedings volume reflects part of the development. On the mathematical side, they report on representations of Lie algebras, quantization procedures, non-commutative geometry, quantum groups, etc. Furthermore, possible physical applications of these techniques are discussed (e.g. quantization of classical systems, derivations of evolution equations, discrete and deformed physical systems).This volume complements the book Generalized Symmetries in Physics, published by World Scientific in 1994.

ILGERT D DOEBNER & J HILGERT V K DOBREV, Heinz-dietrich Doebner, Joachim Hilgert, Vladimir K Dobrev - Lie Theory And Its Applications In Physics Ii - Proceedings Of The Ii International Workshop, Inbunden

Lie Theory And Its Applications In Physics Ii - Proceedings Of The Ii International Workshop

AvILGERT D DOEBNER & J HILGERT V K DOBREV,Heinz-dietrich Doebnerm. fl.

Inbunden, Engelska, 1998

2 215 kr

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This text presents the proceedings from a workshop on lie theory and its applications in physics. Topics include: class operators as intertwining maps into the group algebra; quantum integrable systems and zonal spherical functions; and torsion, current algebra and Hamiltonian quantization.

DOEBNER H-D, Vladimir K Dobrev, Heinz-dietrich Doebner, J-d Hennig, W Lucke - Quantum Theory And Symmetries - Proceedings Of The International Symposium, Inbunden

Quantum Theory And Symmetries - Proceedings Of The International Symposium

AvDOEBNER H-D,Vladimir K Dobrevm. fl.

Inbunden, Engelska, 2000

3 366 kr

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This volume gives a representative survey of recent developments in relativistic and non-relativistic quantum theory, which are related to the application of symmetries in their most general sense. The corresponding mathematical notions are centered upon groups, algebras and their generalizations, and are applied in interaction with topology, differential geometry, functional analysis and related fields. Special emphasis is on results in the following areas: quantization methods, nonlinear evolution equations, foundation of quantum physics, algebraic quantum field theory, gauge and string theories, quantum information, quantum groups, discrete symmetries.

J HILGERT & V K DOBREV H D DOEBNER, Vladimir K Dobrev, Heinz-dietrich Doebner, Joachim Hilgert - Lie Theory And Its Applications In Physics Iii - Proceedings Of The Third International Workshop, Inbunden

Lie Theory And Its Applications In Physics Iii - Proceedings Of The Third International Workshop

AvJ HILGERT & V K DOBREV H D DOEBNER,Vladimir K Dobrevm. fl.

Inbunden, Engelska, 2000

1 863 kr

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These papers are from the Third International Workshop on Lie Theory and its Applications in Physics, held in Germany in 1999. Topics covered include: representation theory - functional-analytic methods; algebraic constructions; applications to physical systems - quantum systems; and more.

DOEBNER H-D, Vladimir K Dobrev, Heinz-dietrich Doebner - Lie Theory And Its Applications In Physics V - Proceedings Of The Fifth International Workshop, Inbunden

Lie Theory And Its Applications In Physics V - Proceedings Of The Fifth International Workshop

AvDOEBNER H-D,Vladimir K Dobrevm. fl.

Inbunden, Engelska, 2004

3 429 kr

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This volume is targeted at theoretical physicists, mathematical physicists and mathematicians working on mathematical models for physical systems based on symmetry methods and in the field of Lie theory understood in the widest sense. It includes contributions on Lie theory, with two papers by the famous mathematician Kac (one paper with Bakalov), further papers by Aoki, Moens. Some other important contributions are in: field theory - Todorov, Grosse, Kreimer, Sokatchev, Gomez; string theory — Minwalla, Staudacher, Kostov; integrable systems - Belavin, Helminck, Ragoucy; quantum-mechanical and probabilistic systems — Goldin, Van der Jeugt, Leandre; quantum groups and related objects — Jakobsen, Arnaudon, Andruskiewitsch; and others.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

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Vladimir K. Dobrev – författare

Noncompact Semisimple Lie Algebras and Groups

Noncompact Semisimple Lie Algebras and Groups

Noncompact Semisimple Lie Algebras and Groups

Quantum Groups

Supersymmetry

Supersymmetry

Supersymmetry

AdS/CFT, (Super-)Virasoro, Affine (Super-)Algebras

AdS/CFT, (Super-)Virasoro, Affine (Super-)Algebras

AdS/CFT, (Super-)Virasoro, Affine (Super-)Algebras

Quantum Symmetries - Proceedings Of The International Workshop On Mathematical Physics

Generalized Symmetries In Physics - Proceedings Of The International Symposium On Mathematical Physics

Nonlinear, Deformed And Irreversible Quantum Systems - Proceedings Of The International Symposium On Mathematical Physics

Lie Theory And Its Applications In Physics - Proceedings Of An International Workshop

Lie Theory And Its Applications In Physics Ii - Proceedings Of The Ii International Workshop

Quantum Theory And Symmetries - Proceedings Of The International Symposium

Lie Theory And Its Applications In Physics Iii - Proceedings Of The Third International Workshop

Lie Theory And Its Applications In Physics V - Proceedings Of The Fifth International Workshop

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