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.

512.57