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On classical Z2×Z2-graded Lie algebras - MaRDI portal

On classical Z2×Z2-graded Lie algebras (Q6110645)

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scientific article; zbMATH DE number 7707750

Language	Label	Description	Also known as
English	On classical Z2×Z2-graded Lie algebras	scientific article; zbMATH DE number 7707750

Statements

scholarly article

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On classical Z2×Z2-graded Lie algebras (English)

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Neli I. Stoilova

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Joris Van der Jeugt

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Journal of Mathematical Physics

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publication date

6 July 2023

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full work available at URL

https://arxiv.org/abs/2305.18604

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MaRDI profile type

MaRDI publication profile

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Sequences of <i>Z</i>2⊗<i>Z</i>2 graded Lie algebras and superalgebras

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de Sitter supergravity with positive cosmological constant and generalised Lie superalgebras

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Generalized quasispin for supergroups

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$\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations

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Double-graded supersymmetric quantum mechanics

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${\mathcal N}$ -extension of double-graded supersymmetric and superconformal quantum mechanics

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\(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization

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${\mathbb{Z}}_{2}{\times}{\mathbb{Z}}_{2}$-graded supersymmetry: 2-d sigma models

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Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications

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Is the \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded sine-Gordon equation integrable?

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The $ \newcommand{\Z}{{{\mathbb Z}}} \Z_2\times\Z_2$ -graded Lie superalgebra $ \newcommand{\pso}{\mathfrak{pso}} \pso(2m+1\vert 2n)$ and new parastatistics representations

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Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians

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Inequivalent quantizations from gradings and Z2×Z2 parabosons

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A new kind of graded Lie algebra and parastatistical supersymmetry

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Group Gradings on Matrix Algebras

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On Lie gradings. I

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Introduction to Lie Algebras and Representation Theory

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A classification of generalized quantum statistics associated with classical Lie algebras

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A Generalized Method of Field Quantization

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A generalization of field quantization and statistics

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The parafermion Fock space and explicit \mathfrak{so}(2n+1) representations

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Macroscopic properties of<i>A</i>-statistics

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Identifiers

zbMATH Open document ID

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10.1063/5.0149175

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6110645

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