Classification of finite-growth general Kac-Moody superalgebras
classification
🧮 math.RT
keywords
contragredientfinite-growthsuperalgebraclassificationsuperalgebrascartancaseclassify
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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 the natural grading) depend polynomially on the degree. In this paper we classify finite-growth contragredient Lie superalgebras. Previously, such a classification was known only for the symmetrizable case.
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