The “odd” Gelfand-Zetlin basis for representations of general linear Lie superalgebras

J. Van der Jeugt () and N. I. Stoilova ()
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J. Van der Jeugt: Ghent University, Dept. of Applied Mathematics, Computer Science and Statistics
N. I. Stoilova: Institute for Nuclear Research and Nuclear Energy

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 343-348 from Springer

Abstract: Abstract We introduce a new Gelfand-Zetlin (GZ) basis for covariant representations of gl(n|n). The patterns in this basis are fixed according to a chain of subalgebras, all of which are Lie superalgebras themselves. The basic generators consist of odd elements only. This GZ basis is interesting because the limit when n goes to infinity becomes clear. This could be used in the description of systems with an infinite number of parabosons and parafermions.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_51

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DOI: 10.1007/978-3-319-69164-0_51

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