Abstract
We give explicit formulas on total Springer representations for classical types. We also describe the characters of restrictions of such representations to a maximal parabolic subgroup isomorphic to a symmetric group. As a result, we give closed formulas for the Euler characteristic of Springer fibers.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4141-4196 |
| Number of pages | 56 |
| Journal | Selecta Mathematica, New Series |
| Volume | 24 |
| Issue number | 5 |
| DOIs | |
| State | Published - Nov 1 2018 |
Bibliographical note
Publisher Copyright:© 2018, Springer Nature Switzerland AG.
Keywords
- Green polynomial
- Kostka-Foulkes polynomial
- Springer fiber
- Springer representation
- Weyl group