Introduction to Quantum Groups and Crystal Bases

Main
Mathematics - Algebra
Introduction to Quantum Groups and...

Introduction to Quantum Groups and Crystal Bases

Name: Introduction to Quantum Groups and Crystal Bases
ISBN: 9780821828748

Jin Hong, Seok-Jin Kang

0 / 0

0 comments

¿Qué tanto le ha gustado este libro?

¿De qué calidad es el archivo descargado?

Descargue el libro para evaluar su calidad

¿Cuál es la calidad de los archivos descargados?

The notion of a "quantum group" was introduced by V.G. Dinfeld 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.

Categorías:

Mathematics - Algebra

Año:

2002

Editorial:

Amer Mathematical Society

Idioma:

english

Páginas:

328

ISBN 10:

0821828746