Parastatistics Algebra, Young Tableaux and the Super Plactic Monoid
Mathematical Physics
2015-05-13 v1 math.MP
Quantum Algebra
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
Cite
@article{arxiv.0810.0844,
title = {Parastatistics Algebra, Young Tableaux and the Super Plactic Monoid},
author = {Jean-Louis Loday and Todor Popov},
journal= {arXiv preprint arXiv:0810.0844},
year = {2015}
}
Comments
Presented at the International Workshop "Differential Geometry, Noncommutative Geometry, Homology and Fundamental Interactions" in honour of Michel Dubois-Violette, Orsay, April 8-10, 2008