Parabosonic and parafermionic algebras. Graded structure and Hopf structures
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 pres...
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.hep-th/0701077 |