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arxiv: 1709.08769 · v1 · pith:6ZX3F3GQnew · submitted 2017-09-26 · 🧮 math.RA

Green rings of Drinfeld Doubles of Taft algebras

classification 🧮 math.RA
keywords ringgreendrinfeldtaftalgebraalgebrasarticlecertain
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In this article, we investigate the representation ring (or Green ring) of the Drinfeld double $D(H_n(q))$ of the Taft algebra $H_n(q)$, where $n$ is an integer with $n>2$ and $q$ is a root of unity of order $n$. It is shown that the Green ring $r(D(H_n(q)))$ is a commutative ring generated by infinitely many elements subject to certain relations.

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