Description

Book Synopsis
Quantum groups are certain families of Hopf algebras that are deformations of universal enveloping algebras of Kac-Moody algebras. This book aims to provide an elementary introduction to the theory of quantum groups and crystal bases, focusing on the combinatorial aspects of the theory.

Table of Contents
Lie algebras and Hopf algebras Kac-Moody algebras Quantum groups Crystal bases Existence and uniqueness of crystal bases Global bases Young tableaux and crystals Crystal graphs for classical Lie algebras Solvable lattice models Perfect crystals Combinatorics of Young walls Bibliography Index of symbols Index.

Introduction to Quantum Groups and Crystal Bases

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A Hardback by American Mathem American Mathem

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    View other formats and editions of Introduction to Quantum Groups and Crystal Bases by American Mathem American Mathem

    Publisher: MP-AMM American Mathematical
    Publication Date: 2/28/2002 12:00:00 AM
    ISBN13: 9780821828748, 978-0821828748
    ISBN10: 0821828746
    Also in:
    Crystallography

    Description

    Book Synopsis
    Quantum groups are certain families of Hopf algebras that are deformations of universal enveloping algebras of Kac-Moody algebras. This book aims to provide an elementary introduction to the theory of quantum groups and crystal bases, focusing on the combinatorial aspects of the theory.

    Table of Contents
    Lie algebras and Hopf algebras Kac-Moody algebras Quantum groups Crystal bases Existence and uniqueness of crystal bases Global bases Young tableaux and crystals Crystal graphs for classical Lie algebras Solvable lattice models Perfect crystals Combinatorics of Young walls Bibliography Index of symbols Index.

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