Semisimple representations of alternating cyclotomic Hecke algebras
Representation Theory
2015-04-13 v4
Abstract
We define alternating cyclotomic Hecke algebras in higher levels as subalgebras of cyclotomic Hecke algebras under an analogue of Goldman's hash involution. We compute the rank of these algebras and construct a full set of irreducible representations in the semisimple case, generalising Mitsuhashi's results.
Keywords
Cite
@article{arxiv.1502.07065,
title = {Semisimple representations of alternating cyclotomic Hecke algebras},
author = {Clinton Boys},
journal= {arXiv preprint arXiv:1502.07065},
year = {2015}
}
Comments
18 pages; updated with new introduction and added motivation and application. Fixed minor typos