English

Correction of the Lusztig-Williamson Billiards Conjecture

Representation Theory 2021-05-12 v1 Combinatorics Group Theory

Abstract

A new algorithm allows us to calculate many new tilting characters for SL3SL_3, SP4SP_4, G2G_2, SL4SL_4 and potentially many other groups. These calculations show that the Lusztig-Williamson Billiards Conjecture needs to be corrected. In this paper we present the new results calculated for SL3SL_3 and a correction of the conjecture.

Keywords

Cite

@article{arxiv.2105.04665,
  title  = {Correction of the Lusztig-Williamson Billiards Conjecture},
  author = {Lars Thorge Jensen},
  journal= {arXiv preprint arXiv:2105.04665},
  year   = {2021}
}

Comments

15 pages, best viewed in colour