Cell 2-representations of finitary 2-categories release_rev_1678e635-4b15-4529-80d7-1dc35a8eabf1

by Volodymyr Mazorchuk, Vanessa Miemietz

Released as a article .

2010  

Abstract

We study 2-representations of finitary 2-categories with involution and adjunctions by functors on module categories over finite dimensional algebras. In particular, we define, construct and describe in detail (right) cell 2-representations inspired by Kazhdan-Lusztig cell modules for Hecke algebras. Under some natural assumptions we show that cell 2-representations are strongly simple and do not depend on the choice of a right cell inside a two-sided cell. This reproves and extends the uniqueness result on categorification of Kazhdan-Lusztig cell modules for Hecke algebras of type A from MS2.
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Type  article
Stage   submitted
Date   2010-11-15
Version   v1
Language   en ?
arXiv  1011.3322v1
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