A Hopf structure for down-up algebras
A Hopf structure for down-up algebras
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DOI：
10.1007/s002090100265
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发表时间：
2001-11
影响因子：
0.8
通讯作者：
G. Benkart;S. Witherspoon
中科院分区：
文献类型：
--
作者：
G. Benkart;S. Witherspoon
自下向上代数在 [BR] 中被引入，作为偏序集上向下和向上算子生成的代数的推广。他们有发电机和关系的演讲。设α、β、γ为域K的固定元素。单位结合 K 代数 A= A (α, β, γ) ，具有生成元 d、u 和定义关系
Down-up algebras were introduced in [BR] as a generalization of the algebra generated by the down and up operators on a partially ordered set. They have a presentation by generators and relations. Let α, β, γ be fixed elements of the fieldK. The unital associativeK-algebraA= A (α, β, γ) with generators d, u and defining relations