English

Two relations for the antisymmetrizer in the Hecke algebra

Representation Theory 2022-03-17 v1 Mathematical Physics math.MP

Abstract

We prove two relations for the antisymmetrizer in the Hecke algebra and derive certain restrictions imposed by these relations on unitary representations of the Hecke algebra on tensor powers of the space Cn{\mathbb C}^n.

Keywords

Cite

@article{arxiv.2203.08664,
  title  = {Two relations for the antisymmetrizer in the Hecke algebra},
  author = {Andrei Bytsko},
  journal= {arXiv preprint arXiv:2203.08664},
  year   = {2022}
}

Comments

7 pages, LaTeX