Super-biderivations on twisted N = 1 Schrödinger-Neveu-Schwarz algebra

Zhenyuan NI , Jiancai SUN

Front. Math. China ›› 2019, Vol. 14 ›› Issue (5) : 907 -922.

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Front. Math. China ›› 2019, Vol. 14 ›› Issue (5) : 907 -922. DOI: 10.1007/s11464-019-0796-2
RESEARCH ARTICLE
RESEARCH ARTICLE

Super-biderivations on twisted N = 1 Schrödinger-Neveu-Schwarz algebra

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Abstract

Let tsns ˜ denote the twisted N = 1 Schrodinger-Neveu-Schwarz algebra over the complex field . In this paper, we determine the superskewsymmetric super-biderivations of tsns ˜. Furthermore, we prove that every super-skewsymmetric super-biderivation of tsns ˜ is inner.

Keywords

Lie super-algebra / super-biderivation / super-skewsymmetric

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Zhenyuan NI, Jiancai SUN. Super-biderivations on twisted N = 1 Schrödinger-Neveu-Schwarz algebra. Front. Math. China, 2019, 14(5): 907-922 DOI:10.1007/s11464-019-0796-2

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References

[1]

Brešar M. On generalized biderivations and related maps. J Algebra, 1995, 172: 764–786

[2]

Brešar M. Commuting maps: a survey. Taiwanese J Math, 2004, 8: 361–397

[3]

Brešar M, Zhao K. Biderivations and commuting linear maps on Lie algebras. J Lie Theory, 2018, 28: 885–900

[4]

Fa H, Li J, Zheng Y. Structures of the twisted N= 1 Schödinger-Neveu-Schwarz algebra. Comm Algebra, 2017, 45: 630–659

[5]

Fan G, Dai X. Super-biderivations of Lie superalgebras. Linear Multilinear Algebra, 2017, 65: 58–66

[6]

Han X, Wang D, Xia C. Linear commuting maps and biderivations on the Lie algebra W(a,b). J Lie Theory, 2016, 26(3): 777–786

[7]

Wang D, Yu X. Biderivation and linear commuting maps on the Schrödinger-Virasoro Lie algebra. Comm Algebra, 2013, 41: 2166–2173

[8]

Wang D, Yu X, Chen Z. Biderivations of the parabolic subalgebras of simple Lie algebras. Comm Algebra, 2011, 39: 4097–4104

[9]

Xia C, Wang D, Han X. Linear super-commuting maps and super-biderivations on the super-Virasoro algebras. Comm Algebra, 2016, 44: 5342–5350

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