2023•Algebra ColloquiumRequires access

Left-Symmetric Superalgebra Structures on an Infinite-Dimensional Lie Superalgebra

Hongjia Chen, Omer Hassan

Abstract

In this note, the compatible left-symmetric superalgebra structures on an infinite-dimensional Lie superalgebra with some natural grading conditions are completely determined. The results of earlier work on left-symmetric algebra structures on the Virasoro algebra play an essential role in determining these compatible structures.

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Key concepts: Lie superalgebra, Superalgebra, Mathematics, Supermatrix, Pure mathematics, Algebra over a field, Current algebra, Affine Lie algebra