Mathematical Theory and Applications ›› 2022, Vol. 42 ›› Issue (4): 36-.doi: 10.3969/j.issn.1006-8074.2022.04.003

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Derivation Algebra and Automorphism Group of the Mirror Heisenberg-Virasoro Algebra

Zhao Yufang,  Cheng Yongsheng*   

  1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
  • Online:2022-12-28 Published:2022-12-16

Abstract: In this paper, we study the derivation algebra and automorphism group of the mirror Heisenberg-Virasoro algebra, determine the outer derivation and the first cohomology group of the mirror Heisenberg-Virasoro algebra with the coefficients in itself.

Key words: Mirror Heisenberg-Virasoro algebra, Derivation algebra, Automorphism group