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The Z2 times Z2-graded Lie superalgebras pso(2n+1|2n) and pso\(infty|infty\), and parastatistics Fock spaces

arXiv
Authors: N. I. Stoilova, J. Van der Jeugt

Year

2021

Paper ID

40285

Status

Preprint

Abstract Read

~2 min

Abstract Words

48

Citations

N/A

Abstract

The parastatistics Fock spaces of order p corresponding to an infinite number of parafermions and parabosons with relative paraboson relations are constructed. The Fock spaces are lowest weight representations of the Z2 times Z2-graded Lie superalgebra pso\(infty|infty\), with a basis consisting of row-stable Gelfand-Zetlin patterns.

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  • The parastatistics Fock spaces of order p corresponding to an infinite number of parafermions and parabosons with relative paraboson relations are constructed.

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