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math.RT2008★ 1 cited
Classification of finite-growth general Kac-Moody superalgebras
Crystal Hoyt, Vera Serganova
A contragredient Lie superalgebra is a superalgebra defined by a Cartan matrix. A contragredient Lie superalgebra has finite-growth if the dimensions of the graded components (in t…
math.RT2008★ 2 cited
Simplicity of vacuum modules over affine Lie superalgebras
Crystal Hoyt, Shifra Reif
We prove an explicit condition on the level for the irreducibility of a vacuum module over a (non-twisted) affine Lie superalgebra, which was conjectured by M. Gorelik…