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arxiv: 1111.1837 · v3 · pith:SVTPSTV2new · submitted 2011-11-08 · 🧮 math.RT · math.QA

The Green Rings of Taft algebras

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keywords greenringtaftalgebraalgebrascertaincommutativecompute
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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.

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