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math.RT2010★ 60 cited
Cell 2-representations of finitary 2-categories
Volodymyr Mazorchuk, Vanessa Miemietz
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, con…
math.RT2010
Affine cellularity of affine Hecke algebras of rank two
Jeremie Guilhot, Vanessa Miemietz
We show that affine Hecke algebras of rank two with generic parameters are affine cellular in the sense of Koenig-Xi.
math.RT2010
Serre functors for Lie algebras and superalgebras
Volodymyr Mazorchuk, Vanessa Miemietz
We propose a new realization, using Harish-Chandra bimodules, of the Serre functor for the BGG category associated to a semi-simple complex finite dimensional Lie alg…