Parabosonic and parafermionic algebras. Graded structure and Hopf structures

K. Kanakoglou; C. Daskaloyannis

Parabosonic and parafermionic algebras. Graded structure and Hopf structures

High Energy Physics - Theory 2007-05-23 v1 Mathematical Physics math.MP Quantum Algebra

Authors: K. Kanakoglou , C. Daskaloyannis

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

Keywords

hopf algebras lie algebras and representations

Cite

@article{arxiv.hep-th/0701077,
  title  = {Parabosonic and parafermionic algebras. Graded structure and Hopf structures},
  author = {K. Kanakoglou and C. Daskaloyannis},
  journal= {arXiv preprint arXiv:hep-th/0701077},
  year   = {2007}
}

Comments

9 pages. Contribution to the 6th Paanhellenic conference in Algebra and Number Theory, Aristotle University of Thessaloniki, Thessaloniki, 10-12 June 2006

Parabosonic and parafermionic algebras. Graded structure and Hopf structures

Abstract

Keywords

Cite

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