English

Nichols algebras over classical Weyl groups

Quantum Algebra 2020-07-14 v1 Rings and Algebras

Abstract

We show that except in several cases conjugacy classes of classical Weyl groups W(Bn)W(B_n) and W(Dn)W(D_n) are of type {\rm D}. We prove that except in three cases Nichols algebras of irreducible Yetter-Drinfeld ({\rm YD} in short )modules over the classical Weyl groups are infinite dimensional.

Keywords

Cite

@article{arxiv.2007.06538,
  title  = {Nichols algebras over classical Weyl groups},
  author = {Zhengtang Tan and Weicai Wu and Shouchuan Zhang},
  journal= {arXiv preprint arXiv:2007.06538},
  year   = {2020}
}

Comments

12 pages. arXiv admin note: text overlap with arXiv:1307.8227

R2 v1 2026-06-23T17:05:04.943Z