Parastatistics Algebra, Young Tableaux and the Super Plactic Monoid

Details Parastatistics Algebra, Young Tableaux and the Super Plactic Monoid Parastatistics Algebra, Young Tableaux and the Super Plactic Monoid

2008-10-05

arxiv.org/abs/0810.0844v1

Physics

Mathematical Physics

Presented at the International Workshop "Differential Geometry, Noncommutative Geometry, Homology and Fundamental Interactions

Scientific paper

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.

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