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math.RT2022
On the Duflo-Serganova functor for the queer Lie superalgebra
Maria Gorelik, Alexander Sherman
We study the Duflo-Serganova functor for the queer Lie superalgebra and for all odd with semisimple. For the case when the rank o…
math.RT2019
Spherical Supervarieties
Alexander Sherman
We give a definition of the notion of spherical varieties in the world of complex supervarieties with actions of algebraic supergroups. A characterization of affine spherical super…
math.RT2019
Spherical Indecomposable Representations of Lie Superalgebras
Alexander Sherman
We present a classification of all spherical indecomposable representations of classical and exceptional Lie superalgebras. We also include information about stabilizers, symmetric…