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20042026
most citedThe Green Ring of Drinfeld Double

20 citations · 35 across the 22 of their papers we have counts for

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math.RT2018★ 2 cited

Tensor product decomposition rules for weight modules over the Hopf-Ore extensions of group algebras

Hua Sun, Hui-Xiang Chen

In this paper, we investigate the tensor structure of the category of finite dimensional weight modules over the Hopf-Ore extensions of group algebras . The…

math.RT2017★ 1 cited

The Projective Class Rings of a family of pointed Hopf algebras of Rank two

Hui-Xiang Chen, Hassan Suleman Esmael Mohammed, Weijun Lin +1

In this paper, we compute the projective class rings of the tensor product of Taft algebras and , and its cocycle…

math.RT2015

Indecomposable decomposition of tensor products of modules over Drinfeld Doubles of Taft algebras

Hui-Xiang Chen, Hassen Suleman Esmael Mohammed, Hua Sun

In this paper, we study the tensor structure of category of finite dimensional representations of Drinfeld quantum doubles of Taft Hopf algebras . Tensor produc…

math.RT2013

Representations of Hopf Ore extensions of group algebras and pointed Hopf algebras of rank one

Zhen Wang, Lan You, Hui-Xiang Chen

In this paper, we study the representation theory of Hopf-Ore extensions of group algebras and pointed Hopf algebras of rank one over an arbitrary field . Let $H=kG(χ, a,\d)$ be…

math.RT2012★ 20 cited

The Green Ring of Drinfeld Double

Hui-Xiang Chen

In this paper, we study the Green ring (or the representation ring) of Drinfeld quantum double of Sweedler's 4-dimensional Hopf algebra . We first give the decomposit…

math.RT2011★ 2 cited

The Green Rings of Taft algebras

Huixiang Chen, Fred Van Oystaeyen, Yinhuo Zhang

We compute the Green ring of the Taft algebra , where is a positive integer greater than 1, and is an -th root of unity. It turns out that the Green ring $r(H_n(…