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arXiv · 1111.1837

The Green Rings of Taft algebras

Huixiang Chen·Fred Van Oystaeyen·Yinhuo Zhang
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Abstract

We compute the Green ring of the Taft algebra $H_n(q)$, where $n$ is a positive integer greater than 1, and $q$ is an $n$-th root of unity. It turns out that the Green ring $r(H_n(q))$ of the Taft algebra $H_n(q)$ is a commutative ring generated by two elements subject to certain relations defined recursively. Concrete examples for $n=2,3,..., 8$ are given.

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Huixiang Chen, Fred Van Oystaeyen, Yinhuo Zhang. 2011-11-08. The Green Rings of Taft algebras. https://arxiv.org/abs/1111.1837

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