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September 5, 2025

Mixed Cohomology of the Affine General Linear Lie Superalgebras

Key Points

Cohomology groups of affine general linear Lie superalgebras were calculated using mixed cohomology.
A significant methodology applied was the BRST method, which is key in understanding superalgebra structures.
The research explored mixed cohomology, which offers a new perspective on traditional cohomology theories.
Findings may contribute to advancements in theoretical physics and mathematics through enhanced algebra understandings.

Abstract

Recently, a new cohomology theory of Lie superalgebras which is called mixed cohomology was investigated. On this basis, in this paper, we use the BRST method to calculate the cohomology groups of affinization for the general linear Lie superalgebras.

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Xu et al. (Thu,) studied this question.

synapsesocial.com/papers/68bb420d2b87ece8dc958136 https://doi.org/https://doi.org/10.1142/s1005386725000355