# Parastatistics Algebra, Young Tableaux and the Super Plactic Monoid

@article{Loday2008ParastatisticsAY, title={Parastatistics Algebra, Young Tableaux and the Super Plactic Monoid}, author={Jean-Louis Loday and Todor Popov}, journal={International Journal of Geometric Methods in Modern Physics}, year={2008}, volume={05}, pages={1295-1314} }

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.

## 25 Citations

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