| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8897343 | Journal of Pure and Applied Algebra | 2018 | 46 Pages |
Abstract
We construct a faithful tensor representation for the Yokonuma-Hecke algebra Yr,n, and use it to give a concrete isomorphism between Yr,n and Shoji's modified Ariki-Koike algebra. We give a cellular basis for Yr,n and show that the Jucys-Murphy elements for Yr,n are JM-elements in the abstract sense. Finally, we construct a cellular basis for the Aicardi-Juyumaya algebra of braids and ties.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jorge Espinoza, Steen Ryom-Hansen,