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Introduction to Quantum Groups (Modern Birkhäuser Classics) by George Lusztig (auth.) is a science book available to read on EtoBox.

What is Introduction to Quantum Groups (Modern Birkhäuser Classics) about?

The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. It is shown that these algebras have natural integral forms that can be specialized at roots of 1 and yield new objects, which include quantum versions of the semi-simple groups over fields of positive characteristic. The theory of quantum groups has led to a new, extremely rigid structure, in which the objects of the theory are provided with canonical bases having rather remarkable properties. This book contains an extensive treatment of the theory of canonical bases in the framework of perverse sheaves. The theory developed in the book includes the case of quantum affine enveloping algebras and, more generally, the quantum analogs of the Kac–Moody Lie algebras. __Introduction to Quantum Groups__ will be of interest to mathematicians working in the representation theory of Lie groups and Lie algebras, knot theorists, theoretical physicists, and graduate students. Since large parts of the book are independent of the theory of perverse sheaves, the work may also be used as a textbook. \*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*\*

Who reads Introduction to Quantum Groups (Modern Birkhäuser Classics)?

Author

George Lusztig (auth.)

Publisher

Birkhäuser Boston

Published

2010

Language

EN

ISBN

9780817637125

Category

science

Subjects

Mathematics, Physics, Science

Updated

2026-03-25