Advanced search
Publication Cover
Communications in Algebra Volume 48, 2020 - Issue 8
Submit an article Journal homepage
94
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Super-biderivations of the contact Lie superalgebra K(m,n;t¯)

Xiaodong ZhaoSchool of Mathematics and Statistics, Northeast Normal University, Changchun, China; ;School of Mathematics and Statistics, Yili Normal University, Yining, China; View further author information
,
Yuan ChangSchool of Mathematics, Dongbei University of Finance and Economics, Dalian, ChinaView further author information
,
Xin ZhouSchool of Mathematics and Statistics, Northeast Normal University, Changchun, China; ;School of Mathematics and Statistics, Yili Normal University, Yining, China; View further author information
&
Liangyun ChenSchool of Mathematics and Statistics, Northeast Normal University, Changchun, China; Correspondence[email protected]
View further author information
Pages 3237-3248 | Received 22 Jul 2019, Accepted 15 Feb 2020, Published online: 04 Mar 2020

References

  • Brešar, M. (2004). Commuting maps: a survey. Taiwanese J. Math. 8:361–397.
  • Wang, D., Yu, X., Chen, Z. (2011). Biderivations of the parabolic subalgebras of simple Lie algebras. Commun. Algebra 39(11):4097–4104. DOI: 10.1080/00927872.2010.517820.
  • 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.
  • Tang, X. (2018). Biderivations of finite-dimensional complex simple Lie algebras. Linear Multilinear Algebra 66(2):250–259. DOI: 10.1080/03081087.2017.1295433.
  • 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.
  • Brešar, M., Zhao, K. (2018). Biderivations and commuting linear maps on Lie algebras. J. Lie Theory 28:885–900.
  • Chang, Y., Chen, L. (2019). Biderivations and linear commuting maps on the restricted Cartan-type Lie algebras W(n;1¯) and S(n;1¯). Linear Multilinear Algebra 67(8):1625–1636. DOI: 10.1080/03081087.2018.1465525.
  • Chang, Y., Chen, L., Zhou, X. (2019). Biderivations and linear commuting maps on the restricted Cartan-type Lie algebras H(n;1¯). Commun. Algebra 47(3):1311–1326. DOI: 10.1080/00927872.2018.1503286.
  • Fan, G., Dai, X. (2017). Super-biderivations of Lie superalgebras. Linear Multilinear Algebra 65(1):58–66. DOI: 10.1080/03081087.2016.1167815.
  • 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.
  • Yuan, J., Tang, X. (2018). Super-biderivations of classical simple Lie superalgebras. Aequat. Math. 92(1):91–109. DOI: 10.1007/s00010-017-0503-x.
  • Chang, Y., Chen, L., Cao, Y. (2019). Super-biderivations of the generalized Witt Lie superalgebra W(m, n; t). Linear Multilinear Algebra. DOI: 10.1080/03081087.2019.1593312.
  • Ma, F., Zhang, Q. (2000). Derivation algebras for K-type modular Lie superalgebras. J. Math. (Wuhan). 20:431–435.
  • Guan, B., Liu, W. (2012). Derivations of the even part into the odd part for modular contact superalgebra. J. Math. (Wuhan). 32:402–414.
  • Guan, B., Chen, L. (2012). Derivations of the even part of contact Lie superalgebra. J. Pure Appl. Algebra 216(6):1454–1466. DOI: 10.1016/j.jpaa.2012.01.010.
  • Zhang, Y., Liu, W. (2005). Moduliar Lie Superalgebras. Beijing: Science Press.
  • Wang, Y., Zhang, Y. (2000). The associative forms of the graded Cartan type Lie superalgebras. Adv. Math. (in Chinese). 29:65–70.

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.