English

Jones Wenzl projectors in Verma modules

Representation Theory 2024-06-04 v2 Quantum Algebra

Abstract

We construct special idempotents in EndUq(sl2)(M(μ1)M(μn))\mathrm{End}_{U_q(\mathfrak{sl}_2)}(M(\mu_1)\otimes\cdots \otimes M(\mu_n)) like the Jones Wenzl projector where M(μi)M(\mu_i) is Verma module whose highest weight is μi\mu_i and is complex number except non-negative integer.

Keywords

Cite

@article{arxiv.2401.02442,
  title  = {Jones Wenzl projectors in Verma modules},
  author = {Ryoga Matsumoto},
  journal= {arXiv preprint arXiv:2401.02442},
  year   = {2024}
}

Comments

10 pages. arXiv admin note: substantial text overlap with arXiv:2312.10662

R2 v1 2026-06-28T14:08:57.689Z