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Original Articles

Biderivations, linear commuting maps and commutative post-Lie algebra structures on W-algebras

Pages 5252-5261 | Received 27 Dec 2016, Published online: 04 May 2017

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (18)

Jing Tang & Xiaomin Tang. (2023) Biderivations of a Lie algebra of Block type and applications. Communications in Algebra 51:10, pages 4409-4417.
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Qingyan Wu & Xiaomin Tang. (2023) Derivations and Biderivations of the Schrödinger algebra in (n + 1)-dimensional space-time. Linear and Multilinear Algebra 71:7, pages 1073-1097.
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Meher Abdaoui. (2023) Skew-symmetric biderivations and linear commuting maps on the conformal Galilei algebra. Communications in Algebra 51:4, pages 1663-1672.
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Zhengxin Chen & Yu Wang. (2023) Derivations and biderivations of the n-th Schrödinger algebra. Communications in Algebra 51:3, pages 1049-1062.
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Lamei Yuan & Qianyi Hua. (2022) -(bi)derivations and transposed Poisson algebra structures on Lie algebras. Linear and Multilinear Algebra 70:22, pages 7672-7701.
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Jinlu Li & Jiancai Sun. (2022) Super-biderivations on the super Heisenberg-Virasoro algebra. Linear and Multilinear Algebra 70:21, pages 6500-6510.
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Lamei Yuan & Jiaxin Li. (2022) Biderivations of q-deformed Heisenberg–Virasoro algebras. Communications in Algebra 50:9, pages 3651-3663.
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Shoulan Gao, Yufeng Pei & Haiying Wang. (2022) Derivations of the nongraded Witt algebra with coefficients in tensor modules. Linear and Multilinear Algebra 70:3, pages 465-489.
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Yuan Chang, Liangyun Chen & Xin Zhou. (2021) Biderivations and linear commuting maps on the restricted contact Lie algebras K(n; ). Quaestiones Mathematicae 44:11, pages 1529-1540.
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Jixia Yuan, Liangyun Chen & Yan Cao. (2021) Super-biderivations of Cartan type Lie superalgebras. Communications in Algebra 49:10, pages 4416-4426.
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Jingwei Jiang & Xiaomin Tang. (2020) Biderivations of the deformative Schrödinger-Virasoro algebras. Communications in Algebra 48:2, pages 609-624.
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Dietrich Burde & Pasha Zusmanovich. (2019) Commutative post-Lie algebra structures on Kac–Moody algebras. Communications in Algebra 47:12, pages 5218-5226.
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Yuan Chang & Liangyun Chen. (2019) Biderivations and linear commuting maps on the restricted Cartan-type Lie algebras and . Linear and Multilinear Algebra 67:8, pages 1625-1636.
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Zhaobo Ding & Xiaomin Tang. (2019) Biderivations of the Galilean Conformal Algebra and their applications. Quaestiones Mathematicae 42:6, pages 831-839.
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Xiaomin Tang & Yongyue Zhong. (2019) Biderivations of the planar Galilean conformal algebra and their applications. Linear and Multilinear Algebra 67:4, pages 649-659.
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Yuan Chang, Liangyun Chen & Xin Zhou. (2019) Biderivations and linear commuting maps on the restricted Cartan-type Lie algebras H(n; 1). Communications in Algebra 47:3, pages 1311-1326.
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Xiaomin Tang & Xiaotong Li. (2018) Biderivations of the twisted Heisenberg–Virasoro algebra and their applications. Communications in Algebra 46:6, pages 2346-2355.
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Jinlu Li & Jiancai Sun. Super-skewsymmetric super-biderivations on the N = 1 super Heisenberg-Virasoro algebra. Quaestiones Mathematicae 0:0, pages 1-15.
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Articles from other publishers (11)

Munayim Dilxat, Shou Lan Gao & Dong Liu. (2023) Super-biderivations and Post-Lie Superalgebras on Some Lie Superalgebras. Acta Mathematica Sinica, English Series 39:9, pages 1736-1754.
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Ziyan Zuo & Jiancai Sun. (2023) Super-biderivations on the planar Galilean conformal superalgebra. International Journal of Algebra and Computation 33:04, pages 837-850.
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Jun Zhao, Liangyun Chen & Lamei Yuan. (2021) Conformal biderivations of loop W(a, b) Lie conformal algebra. Frontiers of Mathematics 17:6, pages 1157-1167.
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Xiaomin Tang. (2020) 2-Local derivations on the W-algebra W(2,2). Journal of Algebra and Its Applications 20:12.
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Zhuo Zhang, Jixia Yuan & Xiaomin Tang. (2021) Super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras. Frontiers of Mathematics in China 15:6, pages 1295-1306.
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Ying Li & Xiaomin Tang. (2019) Biderivations and Commutative Post-Lie Algebra Structure on Schrödinger–Virasoro Lie Algebras. Bulletin of the Iranian Mathematical Society 45:6, pages 1743-1754.
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Xiaomin Tang. (2019) Post-Lie Algebra Structures on the Witt Algebra. Bulletin of the Malaysian Mathematical Sciences Society 42:6, pages 3427-3451.
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Xiaomin Tang. (2018) Biderivations and Commutative Post-Lie Algebra Structures on the Lie Algebra $\mathcal{W}(a,b)$. Taiwanese Journal of Mathematics 22:6.
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Yu Yang & Xiaomin Tang. (2017) Derivations of the Schrödinger algebra and their applications. Journal of Applied Mathematics and Computing 58:1-2, pages 567-576.
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Xiaomin Tang & Yu Yang. (2018) Biderivations of the higher rank Witt algebra without anti-symmetric condition. Open Mathematics 16:1, pages 447-452.
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Jixia Yuan & Xiaomin Tang. (2017) Super-biderivations of classical simple Lie superalgebras. Aequationes mathematicae 92:1, pages 91-109.
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