Parastatistics Algebra and Super Semistandard Young Tableaux

Details Parastatistics Algebra and Super Semistandard Young Tableaux Parastatistics Algebra and Super Semistandard Young Tableaux

2007-11-22

arxiv.org/abs/0711.3648v1

Physics

Mathematical Physics

8 pages, based on a talk given at the VII International Workshop "Lie Theory and Its Applications in Physics" Varna, 18-24 Jun

Scientific paper

We consider the parastatistics algebra with both parabosonic and
parafermionic operators and show that the states in the universal
parastatistics Fock space are in bijection with the Super Semistandard Young
Tableaux (SSYT). Using deformation of the parastatistics algebra we get a
monoid structure on SSYT which is a super version of the plactic monoid.

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