Classification of finite-growth general Kac-Moody superalgebras

Crystal Hoyt; Vera Serganova

doi:10.1080/00927870601115781

Classification of finite-growth general Kac-Moody superalgebras

Crystal Hoyt, Vera Serganova

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

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 article we classify finite-growth contragredient Lie superalgebras. Previously, such a classification was known only for the symmetrizable case.

Original language	English
Pages (from-to)	851-874
Number of pages	24
Journal	Communications in Algebra
Volume	35
Issue number	3
DOIs	https://doi.org/10.1080/00927870601115781
State	Published - Mar 2007
Externally published	Yes

Keywords

Finite growth
Kac-Moody superalgebra
Odd reflections
Roots

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10.1080/00927870601115781

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abstract = "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 article we classify finite-growth contragredient Lie superalgebras. Previously, such a classification was known only for the symmetrizable case.",

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KW - Odd reflections

KW - Roots

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Classification of finite-growth general Kac-Moody superalgebras

Abstract

Keywords

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