Degenerations of Jordan Superalgebras

被引：16

作者：

Alejandra Alvarez, Maria ^{[1
]}

Hernandez, Isabel ^{[2
]}

Kaygorodov, Ivan ^{[3
]}

机构：

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

[2] CONACYT Ctr Invest Matemat AC, Unidad Merida, Guanajuato, Mexico

[3] Univ Fed ABC, CMCC, Santo Andre, Brazil

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 06期

关键词：

Jordan superalgebra; Orbit closure; Degeneration; Rigid superalgebra; NILPOTENT LIE-ALGEBRAS; GRADED CONTRACTIONS; CLASSIFICATION;

D O I：

10.1007/s40840-018-0664-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe degenerations of three-dimensional Jordan superalgebras over C. In particular, we describe all irreducible components in the corresponding varieties.

引用

页码：3289 / 3301

页数：13

共 36 条

[1] On degenerations of Lie superalgebras [J].

Alejandra Alvarez, Maria ;

Hernandez, Isabel .

LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (01) :29-44

[2] The Variety of 7-Dimensional 2-Step Nilpotent Lie Algebras [J].

Alejandra Alvarez, Maria .

SYMMETRY-BASEL, 2018, 10 (01)

[3] CONTRACTIONS OF LOW-DIMENSIONAL NILPOTENT JORDAN ALGEBRAS [J].

Ancochea Bermudez, J. M. ;

Fresan, J. ;

Margalef Bentabol, J. .

COMMUNICATIONS IN ALGEBRA, 2011, 39 (03) :1139-1151

[4] Geometric Classification of 4-Dimensional Superalgebras [J].

Armour, Aaron ;

Zhang, Yinhuo .

ALGEBRA, GEOMETRY AND MATHEMATICAL PHYSICS (AGMP), 2014, 85 :291-323

[5] CLASSIFICATION OF ORBIT CLOSURES IN THE VARIETY OF THREE-DIMENSIONAL NOVIKOV ALGEBRAS [J].

Benes, Thomas ;

Burde, Dietrich .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (02)

[6] Degenerations of pre-Lie algebras [J].

Benes, Thomas ;

Burde, Dietrich .

JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (11)

[7] Contractions of two dimensional Jordan algebras [J].

Bermudez, J. M. Ancochea ;

Campoamor-Stursberg, R. ;

Vergnolle, L. Garcia ;

Hernandez, J. Sanchez .

JOURNAL OF ALGEBRA, 2008, 319 (06) :2395-2409

[8] Classification of orbit closures of 4-dimensional complex Lie algebras [J].

Burde, D ;

Steinhoff, C .

JOURNAL OF ALGEBRA, 1999, 214 (02) :729-739

[9] Classification of linearly compact simple Jordan and generalized Poisson superalgebras [J].

Cantarini, Nicoletta ;

Kac, Victor G. .

JOURNAL OF ALGEBRA, 2007, 313 (01) :100-124

[10] On the degenerations of solvable Leibniz algebras [J].

Casas, J. M. ;

Khudoyberdiyev, A. Kh. ;

Ladra, M. ;

Omirov, B. A. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (02) :472-487

← 1 2 3 4 →