Description

Book Synopsis
Presents some of the current trends in higher representation theory and the diverse techniques that are being employed in this field with the aim of showcasing the many applications of higher representation theory. The companion volume (Contemporary Mathematics, Volume 684) is devoted to categorification in geometry, topology, and physics.

Table of Contents
  • I. Losev, Rational Cherednik algebras and categorification
  • O. Dudas, M. Varagnolo, and E. Vasserot, Categorical actions on unipotent representations of finite classical groups
  • J. Brundan and N. Davidson, Categorical actions and crystals
  • A. M. Licata, On the 2-linearity of the free group
  • M. Ehrig, C. Stroppel, and D. Tubbenhauer, The Blanchet-Khovanov algebras
  • G. Lusztig, Generic character sheaves on groups over $k[\epsilon]/(\epsilon^r)$
  • D. Berdeja Suarez, Integral presentations of quantum lattice Heisenberg algebras
  • Y. Qi and J. Sussan, Categorification at prime roots of unity and hopfological finiteness
  • B. Elias, Folding with Soergel bimodules
  • L. T. Jensen and G. Williamson, The $p$-canonical basis for Hecke algebras.

Categorification and Higher Representation Theory

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    A Paperback by Anna Beliakova, Aaron D. Lauda

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      Book details

      Publisher American Mathematical Society
      Published 3/30/2017 12:00:00 AM
      ISBN-13 9781470424602
      978-1470424602
      ISBN-10 1470424606

      Description

      Book Synopsis
      Presents some of the current trends in higher representation theory and the diverse techniques that are being employed in this field with the aim of showcasing the many applications of higher representation theory. The companion volume (Contemporary Mathematics, Volume 684) is devoted to categorification in geometry, topology, and physics.

      Table of Contents
      • I. Losev, Rational Cherednik algebras and categorification
      • O. Dudas, M. Varagnolo, and E. Vasserot, Categorical actions on unipotent representations of finite classical groups
      • J. Brundan and N. Davidson, Categorical actions and crystals
      • A. M. Licata, On the 2-linearity of the free group
      • M. Ehrig, C. Stroppel, and D. Tubbenhauer, The Blanchet-Khovanov algebras
      • G. Lusztig, Generic character sheaves on groups over $k[\epsilon]/(\epsilon^r)$
      • D. Berdeja Suarez, Integral presentations of quantum lattice Heisenberg algebras
      • Y. Qi and J. Sussan, Categorification at prime roots of unity and hopfological finiteness
      • B. Elias, Folding with Soergel bimodules
      • L. T. Jensen and G. Williamson, The $p$-canonical basis for Hecke algebras.

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