Name: Introduction to Quantum Groups and Crystal Bases (en Inglés)
SKU: 67510873
Price: 120.64 USD
Availability: InStock
Author: Jin Hong;Seok-Jin Kang

portada Introduction to Quantum Groups and Crystal Bases (en Inglés)

Introduction to Quantum Groups and Crystal Bases (en Inglés)

Formato

Libro Físico

Editorial

American Mathematical Society

Autor

Jin Hong;Seok-Jin Kang

Colección

Graduate Studies in Mathematics

Año

2002

Idioma

Inglés

N° páginas

307

Encuadernación

Tapa Blanda

ISBN13

9781470479756

Introduction to Quantum Groups and Crystal Bases (en Inglés)

Jin Hong;Seok-Jin Kang (Autor) · American Mathematical Society · Tapa Blanda

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Reseña del libro "Introduction to Quantum Groups and Crystal Bases (en Inglés)"

The notion of a ""quantum group"" was introduced by V.G. Dinfel&dacute; and M. Jimbo, independently, in their study of the quantum Yang-Baxter equation arising from 2-dimensional solvable lattice models. Quantum groups are certain families of Hopf algebras that are deformations of universal enveloping algebras of Kac-Moody algebras. And over the past 20 years, they have turned out to be the fundamental algebraic structure behind many branches of mathematics and mathematical physics, such as solvable lattice models in statistical mechanics, topological invariant theory of links and knots, representation theory of Kac-Moody algebras, representation theory of algebraic structures, topological quantum field theory, geometric representation theory, and $C^*$-algebras. In particular, the theory of ""crystal bases"" or ""canonical bases"" developed independently by M. Kashiwara and G. Lusztig provides a powerful combinatorial and geometric tool to study the representations of quantum groups. The purpose of this book is to provide an elementary introduction to the theory of quantum groups and crystal bases, focusing on the combinatorial aspects of the theory.