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math.KT2011★ 1 cited
Support varieties and representations of tame basic classical Lie superalgebras
Gongxiang Liu
Let k be an algebraically closed field of characteristic p> 0. For a basic classical Lie superalgebra, we show its restricted cohomology algebra is a finitely generated algebra. Th…
math.RT2011
Super cocommutative Hopf algebras of finite representation type
Gongxiang Liu
In this paper, we give the classification of finite supergroup schemes of finite representation type. Moreover, their Auslander-Reiten quivers are determined.
math.QA2011
A Hochschild's 6-term exact sequence for restricted Lie superalgebras
Gongxiang Liu
In [5], Hochschild established a 6-term exact sequence for the cohomology of restricted Lie algebras. We generalize this result to restricted Lie superalgebras.