Adventures of Harish-Chandra in $\mathbb Z_2 \times \mathbb Z_2$-graded world
Differential Geometry
2026-01-27 v2 Algebraic Geometry
Group Theory
Rings and Algebras
Abstract
We study bi-graded Lie algebras. We describe their properties in relation to Lie superalgebras with some compatible structures. Then we focus on the approach to the Lie group--algebra correspondence based on Harish-Chandra pairs and provide some examples of application of it in the bi-graded setting.
Keywords
Cite
@article{arxiv.2601.07803,
title = {Adventures of Harish-Chandra in $\mathbb Z_2 \times \mathbb Z_2$-graded world},
author = {Olga Chekeres and Alexei Kotov and Vladimir Salnikov},
journal= {arXiv preprint arXiv:2601.07803},
year = {2026}
}
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15 pages