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PARASTATISTICS ALGEBRA, YOUNG TABLEAUX AND THE SUPER PLACTIC MONOID

JEAN-LOUIS LODAY

IRMA, CNRS & Univ. Strasbourg, 7 rue Descartes, 67084 Strasbourg, France

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and

TODOR POPOV

INRNE, BAS, 72 Tsarigradsko Chaussée, 1784 Sofia, Bulgaria

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https://doi.org/10.1142/S0219887808003351Cited by:9 (Source: Crossref)

Abstract

The parastatistics algebra is a superalgebra with (even) parafermi and (odd) parabose creation and annihilation operators. The states in the parastatistics Fock-like space are shown to be in one-to-one correspondence with the Super Semistandard Young Tableaux (SSYT) subject to further constraints. The deformation of the parastatistics algebra gives rise to a monoidal structure on the SSYT which is a super-counterpart of the plactic monoid.

Keywords:

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