An exotic Springer correspondence for $F_4$
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911111477985280 |
|---|---|
| author | Antor, Jonas |
| author_facet | Antor, Jonas |
| contents | We investigate the structure of the `exotic nilcone' of $F_4$ which is defined by exploiting certain characteristic two phenomena. We show that there are finitely many orbits on this nilcone and construct an associated Springer correspondence. Further to that, we show that all corresponding `exotic Springer fibers' admit an affine paving. We also deduce from this a geometric classification of certain simple modules for the affine Hecke algebra with unequal parameters of type $F_4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14199 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An exotic Springer correspondence for $F_4$ Antor, Jonas Representation Theory Algebraic Geometry We investigate the structure of the `exotic nilcone' of $F_4$ which is defined by exploiting certain characteristic two phenomena. We show that there are finitely many orbits on this nilcone and construct an associated Springer correspondence. Further to that, we show that all corresponding `exotic Springer fibers' admit an affine paving. We also deduce from this a geometric classification of certain simple modules for the affine Hecke algebra with unequal parameters of type $F_4$. |
| title | An exotic Springer correspondence for $F_4$ |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2508.14199 |