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Algebraic combinatorics has evolved into one of the most active areas of mathematics during the last several decades. Its recent developments have become more i
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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 th
Foundations of Quantum Group Theory
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A graduate level text which systematically lays out the foundations of Quantum Groups.
Tensor Categories
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Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vect