Paraboson quotients. A braided look at Green ansatz and a generalization

Autor:	Kanakoglou, K., Daskaloyannis, C.
Rok vydání:	2009
Předmět:	Mathematical Physics High Energy Physics - Theory Mathematics - Quantum Algebra
Zdroj:	J.Math.Phys.48:113516,2007
Druh dokumentu:	Working Paper
DOI:	10.1063/1.2816258
Popis:	Bosons and Parabosons are described as associative superalgebras, with an infinite number of odd generators. Bosons are shown to be a quotient superalgebra of Parabosons, establishing thus an even algebra epimorphism which is an immediate link between their simple modules. Parabosons are shown to be a super-Hopf algebra. The super-Hopf algebraic structure of Parabosons, combined with the projection epimorphism previously stated, provides us with a braided interpretation of the Green's ansatz device and of the parabosonic Fock-like representations. This braided interpretation combined with an old problem leads to the construction of a straightforward generalization of Green's ansatz. Comment: 33 pages, Corrected a few misprints and typos of the journal version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0901.4320 Zobrazit plný text záznamu View this record from Arxiv