A class of quadratic deformations of Lie superalgebras (original) (raw)

Finite dimensional quadratic Lie superalgebras

Luke Yates

Arxiv preprint arXiv:1010.3765, 2010

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A sketch of Lie superalgebra theory

Victor Kac

Communications in Mathematical Physics, 1977

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A complete description of all the infinitesimal deformations of the Lie superalgebra

Rosa Navarro

2010

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Modules over affine Lie superalgebras

Jiangbei Fan

Arxiv preprint hep-th/9304122, 1993

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A character formula for singly atypical modules of the lie superalgebra sl(m/n)

Joris Van der Jeugt, Ronald King

Communications in Algebra, 1990

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A classification of quadratic and odd quadratic Lie superalgebras in lowdimensions

Thanh Dat Duong

Revista de la Unión Matemática Argentina

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Singular quadratic Lie superalgebras

Duong Thanh

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Generalized double extension and descriptions of qadratic Lie superalgebras

Martin Bordemann

2007

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Finite-Dimensional Half-Integer Weight Modules over Queer Lie Superalgebras

Jae-Hoon Kwon

Communications in Mathematical Physics, 2016

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Some new simple modular lie superalgebras

Alberto Elduque

2007

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Some deformations of nilpotent Lie superalgebras

Rosa Navarro

Journal of Geometry and Physics, 2007

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Models of some simple modular Lie superalgebras

Alberto Elduque

Pacific Journal of Mathematics, 2009

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A classification of solvable quadratic and odd quadratic Lie superalgebras in low dimensions

duong thanh

Revista De La Union Matematica Argentina, 2014

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Asian Journal of Algebra Flexible Lie-admissible Superalgebras of Vector Type

G. Lakshmi, Jaya Lakshmi

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Generalized superalgebras

Vladimir Rittenberg

Nuclear Physics B, 1978

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A (n, n)-graded Lie superalgebras

Consuelo Martínez

Journal für die reine und angewandte Mathematik (Crelles Journal), 2004

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Deformations of filiform Lie algebras and superalgebras

Rosa Navarro

Journal of Geometry and Physics, 2010

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Lie Superalgebras of Krichever–Novikov Type

Martin Schlichenmaier

Trends in Mathematics, 2015

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Lie superalgebras graded by P(n) and Q(n)

Consuelo Martínez

Proceedings of the National Academy of Sciences, 2003

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On the Lie Structure of the Skew Elements of a Simple Superalgebra with Superinvolution

Ivan Shestakov

Journal of Algebra, 1998

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On finite dimensional representations of basic W-superalgebras

Husileng Xiao

2021

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Infinitesimal deformations of the Lie superalgebra Ln,m

Rosa Navarro

Journal of Geometry and Physics, 2008

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A classification of Mal'tsev superalgebras of small dimensions

Alberto Elduque

Algebra and Logic, 1996

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On the simplicity of Kac modules for the restricted Lie superalgebra gl(m,n)

Chaowen Zhang

arXiv: Representation Theory, 2014

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Constructing Simple Lie Superalgebras from Associative Graded Algebras

Susan Montgomery

Journal of Algebra, 1997

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Structure of some ℤ-graded lie superalgebras of vector fields

Victor Kac

Transformation Groups, 1999

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Character and dimension formulae for general linear superalgebra

Ruibin Zhang

Advances in Mathematics, 2007

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Simplicity of Jordan Superalgebras and Relations with Lie Structures

Consuelo Martínez

Irish Mathematical Society Bulletin

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An application of Lie superalgebras to affine Lie algebras

Vyjayanthi Chari

Journal of Algebra, 1990

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Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras

Victor Kac

Advances in Theoretical and Mathematical Physics, 1998

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Syzygies of Determinantal Thickenings and Representations of the General Linear Lie Superalgebra

Jerzy Weyman

Acta Mathematica Vietnamica

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Peterson-type dimension formulas for graded Lie superalgebras

Jae-Hoon Kwon

Nagoya Mathematical Journal, 2001

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Lie Superalgebras Graded by the Root Systems

Alberto Elduque

2001

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Graded Cocharacters for Superalgebras of Triangular Matrices

Vincenzo Nardozza

Journal of Pure and Applied Algebra, 2004

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Hom-Lie Superalgebras and Hom-Lie admissible Superalgebras

Abdenacer Makhlouf

Eprint Arxiv 0906 1668, 2009

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