Party-Hecke algebras
Representation Theory
2026-03-23 v1 Quantum Algebra
Abstract
Party-Hecke algebras are introduced as a two-parameter deformation of party algebras, where one parameter deforms the party generators and the other deforms the elementary transpositions. We construct a basis for this algebra and show that it can be realized as a quotient of the algebra of braids and ties. Furthermore, we study the party monoid and its relationship with the tied symmetric monoid and their associated algebras.
Cite
@article{arxiv.2603.19917,
title = {Party-Hecke algebras},
author = {Diego Arcis and Jesús Juyumaya},
journal= {arXiv preprint arXiv:2603.19917},
year = {2026}
}
Comments
28 pages