Parabosonic and parafermionic algebras. Graded structure and Hopf structures

Details Parabosonic and parafermionic algebras. Graded structure and Hopf structures Parabosonic and parafermionic algebras. Graded structure and Hopf structures

2007-01-09

arxiv.org/abs/hep-th/0701077v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages. Contribution to the 6th Paanhellenic conference in Algebra and Number Theory, Aristotle University of Thessaloniki, T

Scientific paper

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 $P_{B}^{(n)}$.

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