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

Author

Listed:
  • Yongyue Zhong

    (School of Mathematical Sciences, Harbin Engineering University, Harbin 150001, China)

  • Xiaomin Tang

    (School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China)

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.

Suggested Citation

  • Yongyue Zhong & Xiaomin Tang, 2024. "The Connection between Der( U q + ( g ) ) and Der( U r , s + ( g ) )," Mathematics, MDPI, vol. 12(16), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2517-:d:1456755
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