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Classification of finite-growth contragredient Lie superalgebras

Representation Theory 2016-06-17 v1

Abstract

A contragredient Lie superalgebra is a superalgebra defined by a Cartan matrix. In general, a contragredient Lie superalgebra is not finite dimensional, however it has a natural Z-grading by finite dimensional components. A contragredient Lie superalgebra has finite growth if the dimensions of these graded components depend polynomially on the degree. We discuss the classification of finite-growth contragredient Lie superalgebras. (Joint work with Vera Serganova)

Keywords

Cite

@article{arxiv.1606.05303,
  title  = {Classification of finite-growth contragredient Lie superalgebras},
  author = {Crystal Hoyt},
  journal= {arXiv preprint arXiv:1606.05303},
  year   = {2016}
}

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Conference Paper 2009