Classification of finite-growth contragredient Lie superalgebras
Crystal Hoyt
TL;DR
This paper classifies contragredient Lie superalgebras that exhibit finite growth, characterized by polynomially bounded dimensions of their graded components, advancing understanding of their structure and classification.
Contribution
It provides a classification of finite-growth contragredient Lie superalgebras, a significant step in understanding their structure and properties.
Findings
Identification of conditions for finite growth
Classification results for specific superalgebras
Insights into the structure of graded components
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)
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models