The Z2×Z2-graded general linear Lie superalgebra

DOI10.1063/1.5138597zbMath1448.17033arXiv1912.08636OpenAlexW3106019209MaRDI QIDQ5218798

Neli I. Stoilova, Phillip S. Isaac, Joris Van der Jeugt

Publication date: 5 March 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08636

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Graded Lie (super)algebras (17B70) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (10)

Irreducible representations of Z22-graded N=2 supersymmetry algebra and Z22-graded supermechanics ⋮ The Z2×Z2 -graded Lie superalgebras pso(2n+1|2n) and pso(∞|∞) , and parastatistics Fock spaces ⋮ Construction of color Lie algebras from homomorphisms of modules of Lie algebras ⋮ A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators ⋮ Orthosymplectic Z2×Z2Z2×Z2 -graded Lie superalgebras and parastatistics ⋮ \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization ⋮ A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2) ⋮ Comments of \(\mathbb{Z}_2^2\)-supersymmetry in superfield formalism ⋮ Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications ⋮ Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians

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