Maps on the Mirror Heisenberg–Virasoro Algebra-Reference-Cited by-同舟云学术

Maps on the Mirror Heisenberg–Virasoro Algebra

Published:2024-03-08 Issue:6 Volume:12 Page:802
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Guo Xuelian¹,Kaygorodov Ivan²³^ORCID,Tang Liming¹

Affiliation:

1. School of Mathematical Sciences, Harbin Normal University, Harbin 150025, China

2. CMA-UBI, Universidade da Beira Interior, 6201-001 Covilhã, Portugal

3. Saint Petersburg University, 199034 St. Petersburg, Russia

Abstract

Using the first cohomology from the mirror Heisenberg–Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg–Virasoro algebra module), in this paper, we determined the derivations on the mirror Heisenberg–Virasoro algebra. Based on this result, we proved that any two-local derivation on the mirror Heisenberg–Virasoro algebra is a derivation. All half-derivations are described, and as corollaries, we have descriptions of transposed Poisson structures and local (two-local) half-derivations on the mirror Heisenberg–Virasoro algebra.

Funder

National Natural Science Foundation of China

NSF of Hei Longjiang Province

RSF

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/6/802/pdf

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