Characterization of contact Lie superalgebras

被引：0

作者：

Alvarez, Maria Alejandra ^{[1
]}

Rodriguez-Vallarte, Maria del Carmen ^{[2
]}

Salgado, Gil ^{[2
]}

机构：

[1] Univ Antofagasta, Fac Ciencias Bas, Dept Matemat, Antofagasta, Chile

[2] UASLP, Fac Ciencias, Ave Chapultepec 1570,Priv Pedregal, San Luis Potosi 78295, Mexico

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2024年 / 196卷

关键词：

Contact Lie superalgebras; Deformation of Lie superalgebras; ALGEBRAS;

D O I：

10.1016/j.geomphys.2023.105058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the concept of finite-dimensional complex homogeneous contact Lie super -algebra. The Z2-graded homogeneous cases are studied in detail producing some rele-vant examples. We characterize homogeneous contact Lie superalgebras in terms of their Berezinian and their structure matrix. These Lie superalgebras are also characterized by means of deformation theory, and as an application we obtain the complete classification of low dimensional Lie superalgebras of this type.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：16

共 27 条

[1] Varieties of nilpotent Lie superalgebras of dimension ≤ 5
Alejandra Alvarez, Maria
Hernandez, Isabel
[J]. FORUM MATHEMATICUM, 2020, 32 (03) : 641 - 661
[2] Alvarez MA, 2019, J LIE THEORY, V29, P811
[3] Contact and Frobenius solvable Lie algebras with abelian nilradical
Alvarez, M. A.
Rodriguez-Vallarte, M. C.
Salgado, G.
[J]. COMMUNICATIONS IN ALGEBRA, 2018, 46 (10) : 4344 - 4354
[4] CONTACT NILPOTENT LIE ALGEBRAS
Alvarez, M. A.
Rodriguez-Vallarte, M. C.
Salgado, G.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (04) : 1467 - 1474
[5] On rigid 2-step nilpotent Lie superalgebras
Alvarez, Maria Alejandra
Anza, Yerko
[J]. COMMUNICATIONS IN ALGEBRA, 2021, 49 (05) : 2241 - 2252
[6] CLASSIFICATION OF 4-DIMENSIONAL LIE SUPER-ALGEBRAS
BACKHOUSE, N
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (11) : 2400 - 2402
[7] Principal derivations and codimension one ideals in contact and Frobenius Lie algebras
Barajas, T.
Roque, E.
Salgado, G.
[J]. COMMUNICATIONS IN ALGEBRA, 2019, 47 (12) : 5380 - 5391
[8] Berezin F.A., 1987, Introduction to Superanalysis
[9] ON CONTACT MANIFOLDS
BOOTHBY, WM
WANG, HC
[J]. ANNALS OF MATHEMATICS, 1958, 68 (03) : 721 - 734
[10] GRADED LIE-ALGEBRAS IN MATHEMATICS AND PHYSICS (BOSE-FERMI SYMMETRY)
CORWIN, L
NEEMAN, Y
STERNBERG, S
[J]. REVIEWS OF MODERN PHYSICS, 1975, 47 (03) : 573 - 603

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