Results 1 to 10 of about 132 (130)
Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications [PDF]
Journal of Mathematical Physics, 2021 This paper presents the classification over the fields of real and complex numbers, of the minimal Z2×Z2-graded Lie algebras and Lie superalgebras spanned by four generators and with no empty graded sector. The inequivalent graded Lie (super)algebras are obtained by solving the constraints imposed by the respective graded Jacobi identities.
Zhanna Kuznetsova +2 more
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Gradings, Braidings, Representations, Paraparticles: Some Open Problems
Axioms, 2012 A research proposal on the algebraic structure, the representations and the possible applications of paraparticle algebras is structured in three modules: The first part stems from an attempt to classify the inequivalent gradings and braided group ...
Konstantinos Kanakoglou
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Structures of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras
, 2016 This paper is devoted to investigating the structure theory of a class of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras. In particular, we completely determine the derivation algebras, the automorphism groups and the second cohomology groups of these Lie superalgebras.
Li, Juanjuan, Fan, Guangzhe
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The Graded Modules of Lie Superalgebra S(n) Over Prime Characteristic Fields
Journal of Harbin University of Science and TechnologyThe classification of simple Lie superalgebras over prime characteristic fields has not yet been solved, and the core issue is the classification of Cartan type Lie superalgebras.
LI Yue, SUN Liping, LIU Wende
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ℤ2 × ℤ2-graded Lie (super)algebras and generalized quantum statistics
International Journal of Geometric Methods in Modern PhysicsWe present systems of parabosons and parafermions in the context of Lie algebras, Lie superalgebras, [Formula: see text]-graded Lie algebras and [Formula: see text]-graded Lie superalgebras. For certain relevant [Formula: see text]-graded Lie algebras and [Formula: see text]-graded Lie superalgebras, some structure theory in terms of roots and root ...
N. I. Stoilova, J. Van der Jeugt
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Nuclear Physics BGiven an associative ring of Z2n-graded operators, the number of inequivalent brackets of Lie-type which are compatible with the grading and satisfy graded Jacobi identities is bn=n+⌊n/2⌋+1.
M.M. Balbino +3 more
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Novel possible symmetries of S-matrix generated by Z2n-graded Lie superalgebras
Nuclear Physics BIn this paper, we explore Z2n-graded Lie (super)algebras as novel possible generators of symmetries of S-matrix. As a result, we demonstrate that a Z2n-graded extension of the supersymmetric algebra can be a symmetry of S-matrix.
Ren Ito, Akio Nago
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Θ-Superderivations in Lie Superalgebras: Structural Properties and Decomposition Theorems
MathematicsThis work presents a graded investigation of Θ-superderivations within the framework of Lie superalgebras, generalizing the Θ-derivation concept from ordinary Lie algebras to graded settings.
Doaa Filali +2 more
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We present systems of parabosons and parafermions in the context of Lie algebras, Lie superalgebras, $\mathbf{{\mathbb Z}_2\ \times {\mathbb Z}_2}$-graded Lie algebras and $\mathbf{{\mathbb Z}_2\ \times {\mathbb Z}_2}$-graded Lie superalgebras. For certain relevant $\mathbf{{\mathbb Z}_2\ \times {\mathbb Z}_2}$-graded Lie algebras and $\mathbf{{\mathbb
Stoilova, N. I., Van der Jeugt, J.
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Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]
Commun Math Phys, 2023 Beem C, Nair S.
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