September 12, 2025Israel Journal of MathematicsOpen Access

On the character ring of a quasireductive Lie superalgebra

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Character rings of quasireductive Lie superalgebras demonstrate significant structural properties and relationships.
The new proof of the Sergeev–Veselov theorem sheds light on specific cases of finite-dimensional Kac–Moody superalgebras.
Understanding these character rings enhances our grasp of representation theory in superalgebras.
The study deepens the connection between Lie superalgebras and their broader implications in mathematical physics.

Implication

Analysis of character rings in quasireductive Lie superalgebras reveals new insights, suggesting a refined understanding of Kac-Moody superalgebras.

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.

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Maria Gorelik (2025) studied this question.

synapsesocial.com/papers/68d44c4d31b076d99fa55de9 https://doi.org/10.1007/s11856-025-2821-3

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Implication

Analysis of character rings in quasireductive Lie superalgebras reveals new insights, suggesting a refined understanding of Kac-Moody superalgebras.

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.

On the character ring of a quasireductive Lie superalgebra

Key Points

Implication

Abstract

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Cite This Study

On the character ring of a quasireductive Lie superalgebra

Key Points

Implication

Abstract

Discussion

Cite This Study

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