56 citations · 329 across the 50 of their papers we have counts for
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math.RT2020★ 5 cited
Extension Quiver for Lie Superalgebra
Nikolay Grantcharov, Vera Serganova
We describe all blocks of the category of finite-dimensional -supermodules by providing their extension quivers. We also obtain two general results about the repre…
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
Gelfand-Tsetlin modules for gl(n,m)
Vyacheslav Futorny, Vera Serganova, Jian Zhang
We address the problem of classifying of irreducible Gelfand-Tsetlin modules for gl(m|n) and show that it reduces to the classification of Gelfand-Tsetlin modules for the even part…