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math.RT2020★ 7 cited
Jacobson-Morozov Lemma for Algebraic Supergroups
Inna Entova-Aizenbud, Vera Serganova
Given a quasi-reductive algebraic supergroup , we use the theory of semisimplifications of symmetric monoidal categories to define a symmetric monoidal functor $Φ_x: Rep(G) \to…
math.RT2020★ 12 cited
Semisimplification of the category of tilting modules for GL_n
Jonathan Brundan, Inna Entova-Aizenbud, Pavel Etingof +1
We describe the semisimplification of the monoidal category of tilting modules for the algebraic group GL_n in characteristic p > 0. In particular, we compute the dimensions of the…