Advanced search
Publication Cover
Communications in Algebra Volume 51, 2023 - Issue 9
Submit an article Journal homepage
94
Views
0
CrossRef citations to date
0
Altmetric
Research Articles

Lie super-bialgebra structures on the two dimensional supersymmetric Galilean conformal algebra

Jinlu LiDepartment of Mathematics, Shanghai University, Shanghai, ChinaView further author information
,
Jiancai SunDepartment of Mathematics, Shanghai University, Shanghai, ChinaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-2493-5877View further author information
ORCID Icon &
Hanhan XuDepartment of Mathematics, Shanghai University, Shanghai, ChinaView further author information
Pages 3632-3670 | Received 06 Jan 2022, Accepted 26 Feb 2023, Published online: 15 Mar 2023

References

  • Blumenhagen, R., Plauschinm, E. (2009). Introduction to Conformal Field Theory: With Applications to String Theory. Lecture Notes in Physics. Berlin: Physics.
  • Cheng, X., Sun, J., Yang, H. (2019). Lie super-bialgebra structures on the super-BMS3 algebra. Algebra Colloq. 26:437–458. DOI: 10.1142/S1005386719000324.
  • Drinfeld, V. (1983). Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of classical Yang-Baxter equations. Dokl. Akad. Nauk 268:285–287.
  • Drinfeld, V. (1986). Quantum groups. In: Proceeding of the International Congress of Mathematicians, Vol 1, no. 2, pp. 798–820.
  • Etingof, P., Kazhdan, D. (1996). Quantization of Lie bialgebras, I. Selecta Math. (N.S.) 2:1–41. DOI: 10.1007/BF01587938.
  • Fa, H., Li, J., Xin, B. (2009). Lie super-bialgebra structures on the centerless twisted N=2 superconformal algebra. Algebra Colloq. 18:361–372.
  • Geer, N. (2006). Etingof-Kazhdan quantization of Lie superbialgebras. Adv. Math. 207:1–38. DOI: 10.1016/j.aim.2005.11.005.
  • Liu, D., Chen, L. Y., Zhu, L. S. (2012). Lie super-bialgebra structures on the N=2 superconformal Neveu-Schwarz algebra. J. Geom. Phys. 62:826–831.
  • Lin, L., Fa, H., Zhou, J. (2008). Topological N=2 superconformal super-bialgebras. Mathematics arXiv: 0812.5003v1.
  • Michaelis, W. (1994). A class of infinite-dimensional Lie bialgebras containing the Virasoro algebras. Adv. Math. 107:365–392. DOI: 10.1006/aima.1994.1062.
  • Nichols, W. (1990). The structure of the dual Lie coalgebra of the Witt algebra. J. Pure Appl. Algebra 68:359–364. DOI: 10.1016/0022-4049(90)90091-U.
  • Ng, S. H., Taft, E. J. (2000). Classification of the Lie bialgebra structures on the Witt and Virasoro algebras. J. Pure Appl. Algebra 151:67–88. DOI: 10.1016/S0022-4049(99)00045-6.
  • Taft, E. (1993). Witt and Virasoro algebras as Lie bialgebras. J. Pure Appl. Algebra 87:1–12.
  • Yang, H. (2009). Lie super-bialgebra structures on super-Virasoro algebra. Front. Math. China. 4:365–379. DOI: 10.1007/s11464-009-0012-x.
  • Yang, H., Sun, J. (2017). Lie super-bialgebra structures on super W-algebra SW(32,32). J. Geom. Phys. 114:394–403.
  • Yang, H., Su, Y. (2009). Lie super-bialgebra structures on the Ramond N = 2 super-Virasoro algebras. Chaos Solitons Fractals 40:661–671. DOI: 10.1016/j.chaos.2007.08.010.
  • Yuan, L., He, C. (2016). Lie super-bialgebra and quantization of the super Virasoro algebra. J. Math. Phys. 57:1–8. DOI: 10.1063/1.4952701.

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.