Biderivations of Hom-Lie Algebras and Superalgebras

La Mei Yuan; Jia Xin Li

doi:10.1007/s10114-024-2121-6

Biderivations of Hom-Lie Algebras and Superalgebras

La Mei Yuan^*
, Jia Xin 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

On Hom-Lie algebras and superalgebras, we introduce the notions of biderivations and linear commuting maps, and compute them for some typical Hom-Lie algebras and superalgebras, including the q-deformed W(2,2) algebra, the q-deformed Witt algebra and superalgebra.

Original language	English
Pages (from-to)	2337-2358
Number of pages	22
Journal	Acta Mathematica Sinica, English Series
Volume	40
Issue number	10
DOIs	https://doi.org/10.1007/s10114-024-2121-6
State	Published - Oct 2024
Externally published	Yes

Keywords

17A30
17A60
17B05
17B60
17B70
Hom-Lie algebras
biderivations
linear commuting maps
q-deformed W(2;2) algebra
q-deformed Witt algebra
q-deformed Witt superalgebra

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10.1007/s10114-024-2121-6

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abstract = "On Hom-Lie algebras and superalgebras, we introduce the notions of biderivations and linear commuting maps, and compute them for some typical Hom-Lie algebras and superalgebras, including the q-deformed W(2,2) algebra, the q-deformed Witt algebra and superalgebra.",

keywords = "17A30, 17A60, 17B05, 17B60, 17B70, Hom-Lie algebras, biderivations, linear commuting maps, q-deformed W(2;2) algebra, q-deformed Witt algebra, q-deformed Witt superalgebra",

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AU - Li, Jia Xin

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PY - 2024/10

Y1 - 2024/10

N2 - On Hom-Lie algebras and superalgebras, we introduce the notions of biderivations and linear commuting maps, and compute them for some typical Hom-Lie algebras and superalgebras, including the q-deformed W(2,2) algebra, the q-deformed Witt algebra and superalgebra.

AB - On Hom-Lie algebras and superalgebras, we introduce the notions of biderivations and linear commuting maps, and compute them for some typical Hom-Lie algebras and superalgebras, including the q-deformed W(2,2) algebra, the q-deformed Witt algebra and superalgebra.

KW - 17A30

KW - 17A60

KW - 17B05

KW - 17B60

KW - 17B70

KW - Hom-Lie algebras

KW - biderivations

KW - linear commuting maps

KW - q-deformed W(2;2) algebra

KW - q-deformed Witt algebra

KW - q-deformed Witt superalgebra

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M3 - 文章

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JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 10

ER -

Biderivations of Hom-Lie Algebras and Superalgebras

Abstract

Keywords

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