Graded structure and Hopf structures in parabosonic algebra. An alternative approach to bosonisation
Abstract
Parabosonic algebra in infinite degrees of freedom is presented as a generalization of the bosonic algebra, from the viewpoints of both physics and mathematics. The notion of super-Hopf algebra is shortly discussed and the super-Hopf algebraic structure of the parabosonic algebra is established (without appealing to its Lie superalgebraic structure). Two possible variants of the parabosonic algebra are presented and their (ordinary) Hopf algebraic structure is estabished: The first is produced by "bosonising" the original super-Hopf algebra, while the second is constructed via a slightly different path.
Cite
@article{arxiv.0706.2825,
title = {Graded structure and Hopf structures in parabosonic algebra. An alternative approach to bosonisation},
author = {K. Kanakoglou and C. Daskaloyannis},
journal= {arXiv preprint arXiv:0706.2825},
year = {2012}
}
Comments
12 pages, Talk presented at the International Conference: "New techniques in Hopf algebras and graded ring theory", Brussels, September 19-23, 2006. Submitted for publication at the proceedings