Orbits and equivariant local systems combinatorics in graded Lie algebras
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909677117243392 |
|---|---|
| author | Bedard, Robert |
| author_facet | Bedard, Robert |
| contents | In this paper, we will describe a combinatorial object to list the orbits in the ${\mathbb Z}$-graded Lie algebra, their Jordan bloc decomposition, their dimension, their dimension, the partial order and the equivariant local system (up to isomorphism) for four infinite families: two are for the symplectic groups and two are for the special orthogonal groups. These orbits and equivariant local systems appear in the study of perverse sheaves arising from graded Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04386 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orbits and equivariant local systems combinatorics in graded Lie algebras Bedard, Robert Representation Theory Combinatorics 20G05, 20G07 In this paper, we will describe a combinatorial object to list the orbits in the ${\mathbb Z}$-graded Lie algebra, their Jordan bloc decomposition, their dimension, their dimension, the partial order and the equivariant local system (up to isomorphism) for four infinite families: two are for the symplectic groups and two are for the special orthogonal groups. These orbits and equivariant local systems appear in the study of perverse sheaves arising from graded Lie algebras. |
| title | Orbits and equivariant local systems combinatorics in graded Lie algebras |
| topic | Representation Theory Combinatorics 20G05, 20G07 |
| url | https://arxiv.org/abs/2507.04386 |