Biderivations of q-deformed Heisenberg–Virasoro algebra

Lamei Yuan; Jiaxin Li

doi:10.1080/00927872.2022.2038185

Biderivations of q-deformed Heisenberg–Virasoro algebra

Lamei Yuan^*
, Jiaxin Li

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this article, we compute biderivations of the q-deformed Heisenberg–Virasoro algebra. As an application, linear commuting maps are characterized. We also provide calculations of α-derivations and α-biderivations of the q-deformed Heisenberg–Virasoro algebra and obtain that it has no nonzero α-derivations and α-biderivations.

Original language	English
Pages (from-to)	3651-3663
Number of pages	13
Journal	Communications in Algebra
Volume	50
Issue number	9
DOIs	https://doi.org/10.1080/00927872.2022.2038185
State	Published - 2022
Externally published	Yes

Keywords

Hom–Lie algebras
biderivations
linear commuting maps
q-deformed Heisenberg–Virasoro algebra
α-Biderivations
α-derivations

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10.1080/00927872.2022.2038185

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title = "Biderivations of q-deformed Heisenberg–Virasoro algebra",

abstract = "In this article, we compute biderivations of the q-deformed Heisenberg–Virasoro algebra. As an application, linear commuting maps are characterized. We also provide calculations of α-derivations and α-biderivations of the q-deformed Heisenberg–Virasoro algebra and obtain that it has no nonzero α-derivations and α-biderivations.",

keywords = "Hom–Lie algebras, biderivations, linear commuting maps, q-deformed Heisenberg–Virasoro algebra, α-Biderivations, α-derivations",

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AU - Li, Jiaxin

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AB - In this article, we compute biderivations of the q-deformed Heisenberg–Virasoro algebra. As an application, linear commuting maps are characterized. We also provide calculations of α-derivations and α-biderivations of the q-deformed Heisenberg–Virasoro algebra and obtain that it has no nonzero α-derivations and α-biderivations.

KW - Hom–Lie algebras

KW - biderivations

KW - linear commuting maps

KW - q-deformed Heisenberg–Virasoro algebra

KW - α-Biderivations

KW - α-derivations

UR - https://www.scopus.com/pages/publications/85125866160

U2 - 10.1080/00927872.2022.2038185

DO - 10.1080/00927872.2022.2038185

M3 - 文章

AN - SCOPUS:85125866160

SN - 0092-7872

VL - 50

SP - 3651

EP - 3663

JO - Communications in Algebra

JF - Communications in Algebra

IS - 9

ER -

Biderivations of q-deformed Heisenberg–Virasoro algebra

Abstract

Keywords

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