R-Matrix Formulation of the Quantum Inhomogeneous Groups ISOq,r(N) and ISpq,r(N)

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

The quantum commutations RTT = TTR and the orthogonal (symplectic) conditions for the inhomogeneous multiparametric q-groups of the Bn,Cn, Dn type are found in terms of the R-matrix of Bn+1, Cn+1, Dn+1. A consistent Hopf structure on these inhomogeneous q-groups is constructed by means of a projection from Bn+1,Cn+1, Dn+1. Real forms are discussed; in particular, we obtain the q-groups ISOq,r(n + 1, n - 1), including the quantum Poincaré group. The inhomogeneous q-groups do not contain dilatations when the parameters satisfy certain conditions. For example, we find a dilatation-free q-Poincaré group depending on one real parameter q.

Lingua originaleInglese
pagine (da-a)197-211
Numero di pagine15
RivistaLetters in Mathematical Physics
Volume36
Numero di pubblicazione2
DOI
Stato di pubblicazionePubblicato - 1996
Pubblicato esternamente

Fingerprint

Entra nei temi di ricerca di 'R-Matrix Formulation of the Quantum Inhomogeneous Groups ISOq,r(N) and ISpq,r(N)'. Insieme formano una fingerprint unica.

Cita questo