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首页> 外文期刊>Journal of algebra and its applications >The Grothendieck rings of Wu-Liu-Ding algebras and their Casimir numbers (I)
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The Grothendieck rings of Wu-Liu-Ding algebras and their Casimir numbers (I)

机译:The Grothendieck rings of Wu-Liu-Ding algebras and their Casimir numbers (I)

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摘要

Wu-Liu-Ding algebras are a class of affine prime regular Hopf algebras of GK-dimension one, denoted by D(m,d,xi). In this paper, we consider their quotient algebras D '(m,d,xi), which are a new class of non-pointed semisimple Hopf algebras. We describe the Grothendieck rings of D '(m,d,xi) when d is odd. It turns out that the Grothendieck rings are commutative rings generated by three elements subject to some relations. Then we compute the Casimir numbers of the Grothendieck rings for m = 1 and m = 3.

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