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Two geometric proofs of the classification of algebraic supergroups with semisimple representation theory
Alexander Sherman
We present two novel proofs of the known classification of connected affine algebraic supergroups such that is semisimple. The proofs are geometrically mo…
math.RT2020
Iwasawa Decomposition for Lie Superalgebras
Alexander Sherman
Let be a basic simple Lie superalgebra over an algebraically closed field of characteristic zero, and an involution of preserving a nondegenerate…
math.RT2020
Layers of the Coradical Filtration
Alexander Sherman
Under suitably nice conditions, given a coalgebra object in a tensor category we compute the layers of its coradical (socle) filtration.