R-Matrix Formulation of the Quantum Inhomogeneous Groups Isoqr(N) and Ispqr(N)
Paolo Aschieri, Leonardo Castellani
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.
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