English

A $q$-Identity Related to a Comodule

Rings and Algebras 2010-11-12 v1

Abstract

In this paper we show that a certain algebra being a comodule algebra over the Taft Hopf algebra of dimension n2n^2 is equivalent to a set of identities related to the qq-binomial coefficient, when qq is a primitive nthn^{th} root of 1. We then give a direct combinatorial proof of these identities.

Keywords

Cite

@article{arxiv.1011.2588,
  title  = {A $q$-Identity Related to a Comodule},
  author = {Andrea Jedwab and Susan Montgomery},
  journal= {arXiv preprint arXiv:1011.2588},
  year   = {2010}
}
R2 v1 2026-06-21T16:42:13.574Z