English

On total Springer representations for classical types

Representation Theory 2018-05-29 v4

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.

Keywords

Cite

@article{arxiv.1706.09329,
  title  = {On total Springer representations for classical types},
  author = {Dongkwan Kim},
  journal= {arXiv preprint arXiv:1706.09329},
  year   = {2018}
}

Comments

47 pages, 4 figures; v2: changed the title, added new results which generalize previous ones; v3, v4: minor corrections

R2 v1 2026-06-22T20:32:20.838Z