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}
}
  • J. LodayT. Popov
  • Published 5 October 2008
  • Mathematics
  • International Journal of Geometric Methods in Modern Physics
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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