On the root system of a Kac-Moody superalgebra

Maria Gorelik; Shay Kinamon Kerbis

doi:10.1016/j.jalgebra.2025.03.055

On the root system of a Kac-Moody superalgebra

Maria Gorelik, Shay Kinamon Kerbis

Department of Mathematics

Weizmann Institute of Science

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

Abstract

In this paper we extend several results about root systems of Kac-Moody algebras to superalgebra context. In particular, we describe the root bases and the sets of imaginary roots.

Original language	English
Pages (from-to)	133-195
Number of pages	63
Journal	Journal of Algebra
Volume	678
Early online date	15 Apr 2025
DOIs	https://doi.org/10.1016/j.jalgebra.2025.03.055
State	Published Online - 15 Apr 2025

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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abstract = "In this paper we extend several results about root systems of Kac-Moody algebras to superalgebra context. In particular, we describe the root bases and the sets of imaginary roots.",

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JO - Journal of Algebra

JF - Journal of Algebra

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On the root system of a Kac-Moody superalgebra

Abstract

All Science Journal Classification (ASJC) codes

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