On the character ring of a quasireductive Lie superalgebra

TL;DR

This paper investigates the structure of character rings in quasireductive Lie superalgebras and offers a new proof of a key theorem describing these rings for finite-dimensional Kac-Moody superalgebras.

Contribution

It provides a novel proof of the Sergeev-Veselov theorem, enhancing understanding of character rings in the context of quasireductive Lie superalgebras.

Findings

New proof of Sergeev-Veselov theorem

Character ring descriptions for Kac-Moody superalgebras

Insights into quasireductive Lie superalgebra representations

Abstract

We study character rings of quasireductive Lie superalgebras and give a new proof of the Sergeev-Veselov theorem describing the character rings of finite-dimensional Kac-Moody superalgebras.