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Affine Lie Algebras and Quantum Groups

This is an introduction to the theory of affine Lie algebras, to the theory of quantum groups, and to the interrelationships between these;

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Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In Honor of Vyjayanthi Chari on the Occasion of

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues;

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Affine Flag Varieties and Quantum Symmetric Pairs

of) partial flag varieties of affine type $C$. The authors show that the quantum groups arising from Lusztig algebras and Schur algebras via;

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Representations of Lie Algebras, Quantum Groups and Related Topics

This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held;

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Double Hall Algebra Approach To Affine Quantum Schur-Weyl Th

respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur-Weyl theory. To;

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Lie Groups And Lie Algebras For Physicists

interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie;

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Lie Groups And Lie Algebras For Physicists

interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie;

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Quantum Groups

invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main;

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Algebras of Functions on Quantum Groups, Part 1

of Poisson Lie groups (quasi-classical version of algebras of functions on quantum groups), a description of representations of algebras of functions;

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Quantum Mechanics

Delta function Groups and vector spaces Group of rotations Lie groups and Lie algebras Hilbert space Operators Subspaces and;

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Lie Algebras With Triangular Decompositions

Imparts a self--contained development of the algebraic theory of Kac--Moody algebras, their representations and close relatives----the;

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Symmetries, Lie Algebras and Representations

This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally;

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Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

, and quantum groups, vertex (operator) algebras and Lie superalgebras.;

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Complex Semisimple Quantum Groups and Representation Theory

of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the;

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Affine, Vertex and W-algebras

-algebras, and W-algebras appearing in physical theories such as logarithmic conformal field theory. It is widely accepted in the mathematical;

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Introduction to Quantum Groups

The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations;

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Cambridge Studies in Advanced Mathematics

Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed;

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Lectures on Algebraic Quantum Groups

coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are;

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Algebra - Representation Theory

of rings. The aim of this book is to introduce the reader to some modern developments in: Lie algebras, quantum groups, Hopf algebras and;

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Noncommutative Distributions

physicists studying current algebras, the representation theory of Lie groups, and quantum field theory, and graduate students in these disciplines.;

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Supersymmetry

of differential operators under Lie algebras, quantum groups and superalgebras. This third volume covers supersymmetry, including detailed coverage;

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Foundations of Quantum Group Theory

for the subject of Quantum Groups in a clear and accessible way. The topic is developed in a logical manner with quantum groups (Hopf Algebras;

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Actions and Invariants of Algebraic Groups

with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic;

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London Mathematical Society Lecture Note Series

author studies these algebras and shows how, in certain important cases, their properties can be transferred back to the groups from which they;

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Clifford Algebras and Lie Theory

of Weil algebras, Chern--Weil theory, the quantum Weil algebra, and the cubic Dirac operator. The applications to Lie theory include Duflo's;

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Semisimple Lie Algebras

algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.;

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Semisimple Lie Algebras

algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.;

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