English

Hecke algebras and edge contractions

Representation Theory 2024-07-01 v2 Quantum Algebra

Abstract

We establish an embedding from the Hecke algebra associated with the edge contraction of a Coxeter system along an edge to the Hecke algebra associated with the original Coxeter system.

Keywords

Cite

@article{arxiv.2402.11407,
  title  = {Hecke algebras and edge contractions},
  author = {Yiqiang Li},
  journal= {arXiv preprint arXiv:2402.11407},
  year   = {2024}
}

Comments

v1.16 pages. Comments welcome. v2. An appendix on edge contraction along a labelled edge is added. References updated. Final version. To appear in JPAA

R2 v1 2026-06-28T14:52:00.790Z