Parabosonic and parafermionic algebras. Graded structure and Hopf structures
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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 $P_{B}^{(n)}$.
9 pages. Contribution to the 6th Paanhellenic conference in Algebra and Number Theory, Aristotle University of Thessaloniki, Thessaloniki, 10-12 June 2006
9 pages. Contribution to the 6th Paanhellenic conference in Algebra and Number Theory, Aristotle University of Thessaloniki, Thessaloniki, 10-12 June 2006