Adventures of Harish-Chandra in $\mathbb Z_2 \times \mathbb Z_2$-graded world
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917220112662528 |
|---|---|
| author | Chekeres, Olga Kotov, Alexei Salnikov, Vladimir |
| author_facet | Chekeres, Olga Kotov, Alexei Salnikov, Vladimir |
| contents | We study $\mathbb Z_2\times\mathbb Z_2$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07803 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Adventures of Harish-Chandra in $\mathbb Z_2 \times \mathbb Z_2$-graded world Chekeres, Olga Kotov, Alexei Salnikov, Vladimir Differential Geometry Algebraic Geometry Group Theory Rings and Algebras We study $\mathbb Z_2\times\mathbb Z_2$ 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. |
| title | Adventures of Harish-Chandra in $\mathbb Z_2 \times \mathbb Z_2$-graded world |
| topic | Differential Geometry Algebraic Geometry Group Theory Rings and Algebras |
| url | https://arxiv.org/abs/2601.07803 |