128
Views
1
CrossRef citations to date
0
Altmetric
Articles

Automorphisms, derivations, and central extensions of Lie algebras arising from quantum tori

Pages 4009-4019 | Received 25 Feb 2018, Accepted 15 Jan 2019, Published online: 29 Mar 2019

References

  • Berman, S., Gao, Y., Krylyuk, Y. S. (1996). Quantum tori and elliptic quasi-simple lie algebras. J. Funct. Anal. 135(2):339–389. DOI:10.1006/jfan.1996.0013.
  • Dokovic, D., Zhao, K. (1998). Derivations, isomorphisms and second cohomology of generalized Witt algebras. Trans. Amer. Math. Soc. 350(2):643–664. DOI:10.1090/S0002-9947-98-01786-3.
  • Farnsteiner, R. (1988). Derivations and central extensions of finitely generated graded Lie algebras. J. Algebra 118(1):33–45. DOI:10.1016/0021-8693(88)90046-4.
  • Lin, W., Tan, S. (2005). Central extensions and derivations of the Lie algebras of skew derivations for the quantum torus. Comm. Algebra 33(11):3919–3938. DOI:10.1080/00927870500261066.
  • Liu, G., Zhao, K. (2013). Irreducible Harish Chandra modules over the derivation algebras of rational quantum tori. Glasgow Math. J. 55(03):677–693. DOI:10.1017/S0017089512000845.
  • Need, K. (2008). On the classification of rational quantum tori and the structure of their automorphism groups. Canad. Math. Bull. 51(2):261–282.
  • Patera, J., Zassenhaus, H. (1991). The higher rank Virasoro algebras. Communmath. Phys. 136(1):1–14. DOI:10.1007/BF02096787.
  • Shen, R., Jiang, C. (2006). The derivation algebra and automorphism group of the twisted Heisenberg-Virasoro algebras. Commun. Algebra 34(7):2547–2558. DOI:10.1080/00927870600651257.

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:

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:

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.