Bosonisation and Parastatistics: An Example and an Alternative Approach
Mathematical Physics
2012-05-09 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
Definitions of the parastatistics algebras and known results on their Lie (super)algebraic structure are reviewed. The notion of super-Hopf algebra is discussed. The bosonisation technique for switching a Hopf algebra in a braided category (: a quasitriangular Hopf algebra) into an ordinary Hopf algebra is presented and it is applied in the case of the parabosonic algebra. A bosonisation-like construction is also introduced for the same algebra and the differences are discussed.
Cite
@article{arxiv.math-ph/0701023,
title = {Bosonisation and Parastatistics: An Example and an Alternative Approach},
author = {K. Kanakoglou and C. Daskaloyannis},
journal= {arXiv preprint arXiv:math-ph/0701023},
year = {2012}
}
Comments
13 pages, Contribution to "AGMF: Algebra, Geometry, and Mathematical Physics", Baltic-Nordic Workshop: Lund, 12-14 October, 2006