Advanced search
Publication Cover
Communications in Algebra Volume 50, 2022 - Issue 9
Submit an article Journal homepage
167
Views
1
CrossRef citations to date
0
Altmetric
Articles

Biderivations of q-deformed Heisenberg–Virasoro algebras

Lamei YuanSchool of Mathematics, Harbin Institute of Technology, Harbin, PR ChinaCorrespondence[email protected] [email protected];
View further author information
&
Jiaxin LiSchool of Mathematics, Harbin Institute of Technology, Harbin, PR ChinaView further author information
Pages 3651-3663 | Received 23 Sep 2021, Accepted 01 Feb 2022, Published online: 23 Feb 2022

References

  • Brešar, M. (2004). Commuting maps: A survey. Taiwaness J. Math. 8:361–397. DOI: 10.11650/twjm/1500407660.
  • Brešar, M. (1993). Centralizing mapping and derivations in prime rings. J. Algebra 156:385–394. DOI: 10.1006/jabr.1993.1080.
  • Brešar, M. (1995). On generalized biderivations and related maps. J. Algebra 172:764–786. DOI: 10.1006/jabr.1995.1069.
  • Brešar, M., Zhao, K. (2018). Biderivations and commuting linear maps on Lie Algebras. J. Lie Theory 28(3):885–900.
  • Cheng, Y., Yang, H. (2010). Low-dimensional cohomology of q-deformed Heisenberg-Virasoro algebra of Hom-type. Front. Math. China 5(4):607–622. DOI: 10.1007/s11464-010-0063-z.
  • Chen, Z. (2016). Biderivations and linear commuting maps on simple generalized Witt algebras over a field. ELA. 31:1–12. DOI: 10.13001/1081-3810.3100.
  • Han, X., Wang, D., Xia, C. (2016). Linear commuting maps and biderivations on the Lie algebras W(a, b). J. Lie. Theory 26:777–786.
  • Hartwig, J.T., Larsson, D., Silvestrov, S.D. (2006). Deformations of Lie algebras using σ-derivation. J. Algebra 295(2):314–361. DOI: 10.1016/j.jalgebra.2005.07.036.
  • Liu, X., Guo, X., Zhao, K. (2018). Biderivations of the block Lie algebras. Linear Algebra Appl. 538:43–55. DOI: 10.1016/j.laa.2017.10.011.
  • Posner, E. C. (1957). Derivations in prime rings. Proc. Amer. Math. Soc. 8(6):1093–1100. DOI: 10.1090/S0002-9939-1957-0095863-0.
  • Sheng, Y. (2012). Reprensentations of Hom-Lie algebras. Algebr. Represent. Theor. 15(6):1081–1098. DOI: 10.1007/s10468-011-9280-8.
  • Sun, B., Ma, Y., Chen, L. (2020). Biderivations and commuting linear maps on Hom-Lie algebras. arXiv:2005.11117.
  • Tang, X. (2017). Biderivations, linear commuting maps and commutative post-Lie algebra structures on W-algebras. Commun. Algebra 45(12):5252–5261. DOI: 10.1080/00927872.2017.1302456.
  • Tang, X. (2018). Biderivations and commutative post-Lie algebra structures on the Lie algebra W(a,b). Taiwanese J. Math. 22(6):1347–1366. DOI: 10.11650/tjm/180305.
  • Wang, D., Yu, X. (2013). Biderivations and linear commuting maps on the Schrödinger-Virasoro Lie algebra. Commun. Algebra 41(6):2166–2173. DOI: 10.1080/00927872.2012.654551.
  • Xia, C., Wang, D., Han, X. (2016). Linear super-commuting maps and super-biderivations on the super-virasoro algebras. Commun. Algebra. 44(12):5342–5350. DOI: 10.1080/00927872.2016.1172617.
  • Cheng, X., Sun, J. (2019). Super-biderivations and linear super-commuting maps on the n = 2 superconformal algebra. Hacettepe J. Mathe. Stat. 48(4):985–995. DOI: 10.15672/HJMS.2018.556.
  • Yuan, L., Li, J. (2021). Biderivations of Hom-Lie algebras and superalgebras. arXiv:2108.06042v1.
  • Zhou, J., Fan, G. (2016). Super-biderivations of the super virasoro algebra. Math. Aeterna. 6(4):631–635.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.