The Z2×Z2 -graded Lie superalgebras pso(2n+1|2n) and pso(∞|∞) , and parastatistics Fock spaces

DOI10.1088/1751-8121/ac451dzbMath1505.81050arXiv2112.12811OpenAlexW4200138508MaRDI QIDQ5049527

Neli I. Stoilova, Joris Van der Jeugt

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/2112.12811

zbMATH Keywords

parastatisticsFock representations\(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Many-body theory; quantum Hall effect (81V70) Supersymmetry and quantum mechanics (81Q60) Graded Lie (super)algebras (17B70)

Related Items (2)

New aspects of the \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded \(1D\) superspace: induced strings and \(2D\) relativistic models ⋮ A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators

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