Communications in Algebra ( IF 0.6 ) Pub Date : 2021-01-07 Ruifang Yang, Shilin Yang
Abstract
Wu-Liu-Ding algebras, that is are a class of non-pointed affine prime regular Hopf algebras of GK-dimension one. In this paper, we mainly study a class of quotient algebras of denoted by which are 2-dimensional non-pointed semisimple Hopf algebras. For a better understanding of the structure of the Hopf algebra we have considered the Grothendieck rings of and their Casimir numbers when d is odd in our previous paper. In this paper we continue dealing with the more complex case when d is even. It turns out that the Grothendieck rings of are generated by four elements subject to some relations. Then we give the Casimir numbers of the Grothendieck rings of and
中文翻译:
Wu-Liu-Ding代数的Grothendieck环及其卡西米尔数(II)
摘要
五六丁代数 是一类GK维度的无尖仿射素数正规Hopf代数。在本文中,我们主要研究一类商代数 表示为 这是2维无尖半简单Hopf代数。为了更好地了解Hopf代数的结构 我们已经考虑了格罗腾迪克环 和我们在前一篇论文中当d为奇数时的卡西米尔数。在本文中,我们将继续处理d为偶数时的更复杂情况。原来,格罗腾迪克环是由受某些关系约束的四个元素生成的。然后我们给出格罗腾迪克环的卡西米尔数 和