The quantum groups discussed in this book are the quantized
enveloping algebras introduced by Drinfeld and Jimbo in 1985, or
variations thereof. The theory of quantum groups has led to a new,
extremely rigid structure, in which the objects of the theory are
provided with canonical basis with rather remarkable properties.
This book will be of interest to mathematicians working in the
representation theory of Lie groups and Lie algebras, knot
theorists and to theoretical physicists and graduate students.
Since large parts of the book are independent of the theory of
perverse sheaves, the book could also be used as a text book.
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