Classification of finite-growth general Kac-Moody superalgebras

Crystal Hoyt, Vera Serganova

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


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 languageEnglish
Pages (from-to)851-874
Number of pages24
JournalCommunications in Algebra
Issue number3
StatePublished - Mar 2007
Externally publishedYes


  • Finite growth
  • Kac-Moody superalgebra
  • Odd reflections
  • Roots


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