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Linear and Multilinear Algebra Volume 72, 2024 - Issue 4
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Research Article

Local derivations on the Lie algebra W(2, 2)

Qingyan Wua College of Mathematics and System Sciences, Xinjiang University, Urumqi, People's Republic of ChinaView further author information
,
Shoulan Gaob Department of Mathematics, Huzhou University, Zhejiang, Huzhou, People's Republic of ChinaView further author information
&
Dong Liub Department of Mathematics, Huzhou University, Zhejiang, Huzhou, People's Republic of ChinaCorrespondence[email protected]
View further author information
Pages 631-643 | Received 30 Aug 2022, Accepted 25 Oct 2022, Published online: 25 Dec 2022

References

  • Chen Y, Zhao K, Zhao Y. Local derivations on the witt algebra. Linear Multilinear Algebra. 2022;70(6):1159–1172.
  • Larson DR. Reflexivity, algebraic reflexivity, and linear interpolation. Amer J Math. 1998;110:283–299.
  • Larson DR, Sourour AR. Local derivations and local automorphisms of B(X). Proc Sym-pos Pure Math 51, Part 2, Providence, RI: 1990. p. 187–194.
  • Ayupov S.A, Kudaybergenov KK. Local derivations on finite-dimensional Lie algebras. Linear Algebra Appl. 2016;493:381–398.
  • Brešar M. Characterizations of derivations on some normed algebras with involution. J Algebra. 1992;152:454–462.
  • Brešar M, Šemrl P. Mappings which preserve idempotents, local automorphisms, and local derivations. Canad J Math. 1993;45:483–497.
  • Crist RL. Local derivations on operator algebra. J Funct Anal. 1996;135:76–92.
  • Kadison RV. Local derivations. J Algebra. 1990;130:494–509.
  • Liu D, Zhang J. Local Lie derivations of factor von Neunann algebras. Linear Algebra Appl. 2017;519:208–218.
  • Power S. Non-self-adjoint operator algebras and inverse systems of simplicial complexes. J Reine Angew Math. 1991;421:43–61.
  • Zhang W, Dong C. W-algebra W(2,2) and the vertex operator algebra L(12,0)⊗L(12,0). Commun Math Phys. 2009;285:991–1004.
  • Chen H, Lai D, Liu D. The Hom-Lie structures on the Lie algebra W(2,2). Acta Math Sin Chinese Ser. 2020;63(4):289–416.
  • Chen H, Li J. Left-symmetric algebra structures on the W-algebra W(2,2). Linear Algebra Appl. 2012;437:1821–1834.
  • Dilxat D, Gao S, Liu D. 2-Local superderivations on the super Virasoro algebra and the super W(2,2) algebra. Commun Alg. 2021;49(12):5423–5434.
  • Gao S, Jiang C, Pei Y. Derivations, central extensions and automorphisms of a Lie algebra. Acta Math Sin. 2009;52:281–288.
  • Gao S, Jiang C, Pei Y. Low-dimensional cohomology groups of the Lie algebras W(a,b). Commun Alg. 2011;39(2):397–423.
  • Jiang Q, Zhang W. Verma modules over the W(2,2) algebras. J Geom Phys. 2015;98:118–127.
  • Liu D. Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra. J Algebra. 2016;447:548–559.
  • Radobolja G. Subsingular vectors in verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2,2) algebra. J Math Phys. 2013;54:071701.
  • Tang X. 2-Local derivations on the W-algebra W(2,2). J Algebra Appl. 2021;20(12):2150237.
  • Guo X, Lv R, Zhao K. Simple Harish-Chandra modules, intermediate series modules, and verma modules over the loop-Virasoro algebra. Forum Math. 2011;23:1029–1052.
  • Caroca R, Concha P, Rodrguez E, et al. Generalizing the bms3 and 2D-conformal algebras by expanding the Virasoro algebra. Eur Phys J C. 2018;78(3):262–276.
  • Zhu L, Meng D. Some infinite-dimensional complete Lie algebras. Chinese Ann Math Ser A. 2000;21(3):311–316.

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