Typical blocks of Lie superalgebras in prime characteristic

2009/05/12 by Lei Zhao, Zhao, Lei
Mathematics · #17B10 #17B20 #17B35 #17B50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0905.1760

openalex publication_date 2009/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a type I basic classical Lie superalgebra \mathfrakg=\mathfrakg_0 ⊕ \mathfrakg_1, we establish an equivalence between typical blocks of categories of U_χ(\mathfrakg)-modules and U_χ(mathfrakg_0)-modules. We then deduce various consequences from the equivalence.

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