ENGLISH

Foundations of quantum group theory

By Shahn Majid

Book information

Publisher
Cambridge University Press
Year
1995
ISBN
9780521460323, 9780521648684, 0521460328, 0521648688
Language
english
Format
DJVU
Filesize
6 MB (6166334 bytes)
Pages
625\625
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

This is a graduate-level text that systematically develops the foundations of the subject. Quantum groups (i.e. Hopf algebras) are treated as mathematical objects in their own right; basic properties and theorems are proven in detail from this standpoint, including the results underlying key applications. After formal definitions and basic theory, the book goes on to cover such topics as quantum enveloping algebras, matrix quantum groups, combinatorics, cross products of various kinds, the quantum double, the semiclassical theory of Poisson-Lie groups, the representation theory, braided groups and applications to q-deformed physics. The explicit proofs and a great many worked examples and exercises will allow readers to quickly pick up the techniques needed for working in this exciting new field.

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