pith. sign in

arxiv: hep-th/0701077 · v1 · submitted 2007-01-09 · ✦ hep-th · math-ph· math.MP· math.QA

Parabosonic and parafermionic algebras. Graded structure and Hopf structures

classification ✦ hep-th math-phmath.MPmath.QA
keywords hopfalgebrasstructurealgebraparabosonicparafermionicsuper-algebraic
0
0 comments X
read the original abstract

Parabosonic $P_{B}^{(n)}$ and parafermionic $P_{F}^{(n)}$ algebras are described as quotients of the tensor algebras of suitably choosen vector spaces. Their (super-) Lie algebraic structure and consequently their (super-) Hopf structure is shortly discussed. A bosonisation-like construction is presented, which produces an ordinary Hopf algebra $P_{B(K^{\pm})}^{(n)}$ starting from the super Hopf algebra $P_{B}^{(n)}$.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.