Tensor categories /
Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik.
- xvi, 343 p. ; 27 cm.
- Mathematical surveys and monographs ; volume 205 .
Includes bibliographical references (pages 325-337) and index.
9781470420246
Algebraic topology. Tensor fields. Hopf algebras. Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications. Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations. Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories. $K$-theory -- Higher algebraic $K$-theory -- Symmetric monoidal categories. Group theory and generalizations -- Linear algebraic groups and related topics -- Quantum groups (quantized function algebras) and their representations.