Two geometric proofs of the classification of algebraic supergroups with\n semisimple representation theory

2020/12/21 by Alexander Sherman, Sherman, Alexander
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2012.11317

openalex publication_date 2020/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present two novel proofs of the known classification of connected affine\nalgebraic supergroups G such that \RepG is semisimple. The\nproofs are geometrically motivated, although both rely on an algebraic lemma\nthat characterizes mathfrakosp(1|2n) amongst simple Lie superalgebras.\n

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