English

Identities for Poincar\'e polynomials via Kostant cascades

Combinatorics 2018-10-15 v1 Algebraic Geometry Group Theory Representation Theory

Abstract

We propose and prove an identity relating the Poincar\'e polynomials of stabilizer subgroups of the affine Weyl group and of the corresponding stabilizer subgroups of the Weyl group.

Keywords

Cite

@article{arxiv.1810.05615,
  title  = {Identities for Poincar\'e polynomials via Kostant cascades},
  author = {Jørgen Ellegaard Andersen and Jens Carsten Jantzen and Du Pei},
  journal= {arXiv preprint arXiv:1810.05615},
  year   = {2018}
}

Comments

28 pages, 3 tables

R2 v1 2026-06-23T04:37:54.367Z