The Green Ring of Quasi-Hopf Algebra A(n, s, q)

Abstract

We compute the Green ring of the quasi-Hopf algebra A(n, s, q), where n ≥ 1 is a positive integer greater, s is a factor of n, and q is an n²-th root of unity. It turns out that the Green ring r(A(n, s, q)) is a commutative ring generated by two elements subject to certain relations.

Keywords

Quasi-Hopf algebra / simple module / indecomposable module / tensor production / Green ring / 16G10 / 16T05

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