A $q$-Identity Related to a Comodule

Details A $q$-Identity Related to a Comodule A $q$-Identity Related to a Comodule

2010-11-11

arxiv.org/abs/1011.2588v1

Mathematics

Rings and Algebras

Scientific paper

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

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