李color代数的双导子

doi:10.6040/j.issn.1671-9352.0.2023.366

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 122-129.doi: 10.6040/j.issn.1671-9352.0.2023.366

The biderivation of Lie color algebras

LI Xinyang¹, SUN Bing^1*, ZHOU Xin²

1. School of Mathematics, Changchun Normal University, Changchun 130032, Jilin, China;
2. School of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China

Published:2025-11-11

Abstract

CLC Number:

O159

LI Xinyang, SUN Bing, ZHOU Xin. The biderivation of Lie color algebras[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(11): 122-129.

[1] MCANALLY D S, BRAKCEN A J. Uncolouring of Lie colour algebras[J]. Bulletin of the Australian Mathematical Society, 1997, 55:425-428.
[2] KAC V G. Classification of infinite-dimensional simple linearly compact Lie superalgebras[J]. Advances in Mathematics, 1998, 139(1):1-55.
[3] REE R. Generalized Lie elements[J]. Canadian Journal of Mathematics, 1960, 12:493-502.
[4] SCHEUNERT M. Generalized Lie algebras[J]. Journal of Mathematical Physics, 1979, 20:712-720.
[5] ZHANG Qingcheng, ZHANG Yongzheng. Derivations and extensions of Lie color algebra[J]. Acta Mathematica Scientia, 2008, 28(4):933-948.
[6] SU Yucai, ZHAO Kaiming, ZHU Linsheng. Simple Lie color algebras of weyl type[J]. Israel Journal of Mathematics, 2003, 137:109-123.
[7] SU Yucai, ZHAO Kaiming, ZHU Linsheng. Classification of derivation-simple color algebras related to locally finite derivations[J]. Journal of Mathematical Physics, 2004, 45(1):525-536.
[8] LIU Xuewen, GUO Xiangqian, ZHAO Kaiming. Biderivations of the block Lie algebras[J]. Linear Algebra and Its Applications, 2018, 538:43-55.
[9] BENKOVIC D. Biderivations of triangular algebras[J]. Linear Algebra and Its Applications, 2009, 431(9):1587-1602.
[10] BREŠAR M, ZHAO Kaiming. Biderivations and commuting linear maps on Lie algebras[J]. Mathematics, 2018, 28(3):885-900.
[11] TANG Liming, MENG Lingyi, CHEN Liangyun. Super-biderivations and linear super-commuting maps on the Lie superalgebras[J]. Communications in Algebra, 2020, 48(12):5076-5085.
[12] MELVILLE D J. Centroids of nilpotent Lie algebras[J]. Communications in Algebra, 1992, 20(12):3649-3682.
[13] VINBERG E B. Generalized derivations of algebras[C] //Third Siberian School: Algebra and Analysis. Irkutsk: American Mathematical Society, 1995:185-188.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 0

No Suggested Reading articles found!

The biderivation of Lie color algebras

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 3

Metrics

Comments

Recommended 0

[1]	MA Li-li, LI Qiang. Abelian extensions of δ-Lie color algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(8): 38-42.
[2]	YANG Chen, ZHENG Ming-hui, TAN Jie. A scheme for cloud server positioning and security verification [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(3): 28-34.
[3]	FEI Xiu-hai, DAI Lei. Additivity of biderivable maps on generalized matrix algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(10): 85-90.