The Green rings of Taft algebras

By Hui-xiang Chen, F. van Oystaeyen, Yinhuo Zhang. 2011

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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.

Subfields: Algebra and Number Theory, Geometry and Topology

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