Gel’fand–Zetlin basis for a class of representations of the Lie superalgebra ${\mathfrak{gl}}(\infty | \infty )$

DOI10.1088/1751-8113/49/16/165204zbMath1350.17008arXiv1603.03615OpenAlexW3125406755MaRDI QIDQ3186623

Neli I. Stoilova, Joris Van der Jeugt

Publication date: 10 August 2016

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

Full work available at URL: https://arxiv.org/abs/1603.03615

zbMATH Keywords

representationsLie superalgebrasparastatisticsGel'fand-Zetlin basis\(\mathrm{gl}(\infty|\infty)\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)

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The Z2×Z2 -graded Lie superalgebras pso(2n+1|2n) and pso(∞|∞) , and parastatistics Fock spaces ⋮ Representations of the Lie superalgebra $ \newcommand{\B}{\mathfrak{B}} {\B(\infty,\infty)}$ and parastatistics Fock spaces ⋮ The “odd” Gelfand-Zetlin basis for representations of general linear Lie superalgebras

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