Representations of lie algebras and lie superalgebra [mikrofilem] / by 224681 Mahmad Mat Min

Symmetries of M-theory and free Lie superalgebras by Joaquim Gomis, Axel Kleinschmidt, Jakob Palmkvist

“…Abstract We study systematically various extensions of the Poincaré superalgebra. The most general structure starting from a set of spinorial supercharges Q α is a free Lie superalgebra that we discuss in detail. …”
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The classification of modular Lie superalgebras of type M by Ma Lili, Chen Liangyun

Subjects: “…modular lie superalgebra…”
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On Hom-Leibniz and Hom-Lie-Yamaguti Superalgebras by Attan Sylvain, Gaparayi Donatien, Issa A. Nourou

Subjects: “…hom-leibniz superalgebras…”
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All Killing superalgebras for warped AdS backgrounds by S. Beck, U. Gran, J. Gutowski, G. Papadopoulos

“…We demonstrate that in type II and d = 11 theories the AdS3 symmetry superalgebras may not be simple and also present all symmetry superalgebras of heterotic AdS3 backgrounds. …”
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N=4 l-conformal Galilei superalgebra by Anton Galajinsky, Ivan Masterov

“…The value of the group parameter α is fixed from the requirement that the resulting superalgebra is finite-dimensional. The analysis reveals α=−12 thus reducing D(2,1;α) to OSp(4|2). …”
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Vacuum and Spacetime Signature in the Theory of Superalgebraic Spinors by Vadim Monakhov

“…It is based on a superalgebraic formulation of the theory of algebraic spinors. …”
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REPRESENTATIONS OF AFFINE SUPERALGEBRAS AND MOCK THETA FUNCTIONS by Wakimoto, Minoru, Kac, Victor

“…We show that the normalized supercharacters of principal admissible modules over the affine Lie superalgebra sℓˆ[subscript 2|1] (resp. psℓˆ[subscript 2|2]) can be modified, using Zwegers’ real analytic corrections, to form a modular (resp. …”
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Classification of Linearly Compact Simple Rigid Superalgebras by Cantarini, N., Kac, Victor

“…The notion of an anti-commutative (resp. commutative) rigid superalgebra is a natural generalization of the notion of a Lie (resp. …”
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Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix by Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites

Subjects: “…modular Lie superalgebra…”
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On the structure of split regular -Hom-Jordan-Lie superalgebras by Valiollah Khalili

“…By developing techniques of connections of roots for this kind of algebras, we show that such a split regular -Hom-Jordan-Lie superalgebra L is of the form L = H [ ]   Σ [ ]2= V [ ]; with H  [ ] a graded linear subspace of the graded abelian subalgebra H and any V [ ]; a well-described ideal of L; satisfying [V [ ]; V []] = 0 if [ ] ̸= []: Under certain conditions, in the case of L being of maximal length, the simplicity of the algebra is characterized and it is shown that L is the direct sum of the family of its minimal ideals, each one being a simple split regular -Hom-Jordan-Lie superalgebra. …”
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On split involutive regular BiHom-Lie superalgebras by Guo Shuangjian, Zhang Xiaohui, Wang Shengxiang

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Deriving all p-brane superalgebras via integrability by D.T. Grasso, I.N. McArthur

“…In that work we derived p-brane superalgebras for p=2 and 3. Here we extend our previous results and give a compact expression for superalgebras for all valid p.…”
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Induced 3-Lie algebras, superalgebras and induced representations by Viktor Abramov, Priit Lätt

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Dirac operators and the very strange formula for Lie superalgebras by Frajria, Pierluigi Möseneder, Papi, Paolo, Kac, Victor

“…Using a super-affine version of Kostant’s cubic Dirac operator, we prove a very strange formula for quadratic finite-dimensional Lie superalgebras with a reductive even subalgebra.…”
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Representations of affine superalgebras and mock theta functions II by Kac, Victor, Wakimoto, Minoru

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Classification of simple linearly compact n-Lie superalgebras by Cantarini, Nicoletta, Kac, Victor

“…We classify simple linearly compact n-Lie superalgebras with n > 2 over a field F of characteristic 0. …”
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An Implementation in C of an Algorithm for Construction of Finitely Presented Lie Superalgebras by V. Gerdt, V. Kornyak

“…The purpose of this paper is to describe a C program FPLSA for investigating finitely presented Lie algebras and superalgebras. The program takes as input data a finite set of generators and relations for these elements. …”
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Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras by Yuqiu Sheng, Wende Liu, Yang Liu

“…In this paper, we give the forms of local automorphisms (resp. superderivations) of model filiform Lie superalgebra Ln,m in the matrix version. Linear 2-local automorphisms (resp. superderivations) of Ln,m are also characterized. …”
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A classification of low dimensional multiplicative Hom-Lie superalgebras by Wang Chunyue, Zhang Qingcheng, Wei Zhu

Subjects: “…hom-lie superalgebras…”
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