The Connection between Der( U q + ( g ) ) and Der( U r, s + ( g ) )

Yongyue Zhong and Xiaomin Tang ()
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Yongyue Zhong: School of Mathematical Sciences, Harbin Engineering University, Harbin 150001, China
Xiaomin Tang: School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China

Mathematics, 2024, vol. 12, issue 16, 1-14

Abstract: To facilitate the parallel development of the structures and properties of two-parameter quantum groups with those of one-parameter quantum groups, this paper primarily elucidates the interrelations and distinctions between the derivation algebras of these two types of quantum groups. Additionally, we also proposed a method for deriving the derivation algebra of one-parameter quantum groups from known two-parameter quantum group derivations, and vice versa.

Keywords: two-parameter quantum groups; one-parameter quantum groups; iterated Ore extension; derivations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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