Tensor categories / Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik.

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Bibliographic Details
Main Authors: Etingof, P. I. (Pavel I.), 1969- (Author), Gelaki, Shlomo, 1964- (Author), Nikshych, Dmitri, 1973- (Author), Ostrik, Victor (Author)
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2015]
Series:Mathematical surveys and monographs ; v. 205.
Subjects:
Algebraic topology.
Tensor fields.
Categories (Mathematics)
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.
Physical Description:xvi, 343 pages ; 26 cm.
Format: Book
Contents:
  • Abelian categories
  • Monoidal categories
  • Z₊-rings
  • Tensor categories
  • Repreentation categories of Hopf algebras
  • Finite tensor categories
  • Module categories
  • Braided categories
  • Fusion categories.