caa a22 4500 477076904 CHVBK 20180405111440.0 cr unu---uuuuu 170330e19960801xx s 000 0 eng 10.1007/BF00116517 doi (NATIONALLICENCE)springer-10.1007/BF00116517 Dobrev V. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, 1784, Sofia, Bulgaria aut q -Difference intertwining operators and q -conformal invariant equations [Elektronische Daten] [V. Dobrev] We first recall a canonical procedure for the construction of the invariant differential operators and equations for arbitrary complex or real noncompact semisimple Lie groups. Then we present the application of this procedure to the case of quantum groups. In detail is given the construction of representations of the quantum algebra U q (sl(n)) labelled by n−1 complex numbers and acting in the spaces of functions of n(n−1)/2 noncommuting variables, which generate a q-deformed SL(4) flag manifold. The conditions for reducibility of these representations and the procedure for the construction of the q-difference intertwining operators are given. Using these results for the case n=4 we propose infinite hierarchies of q-difference equations which are q-conformal invariant. The lowest member of one of these hierarchies are new q-Maxwell equations. We propose also new q-Minkowski spacetime which is part of a q-deformed SU(2,2) flag manifold. Kluwer Academic Publishers, 1996 quantum groups nationallicence intertwining differential operators nationallicence conformal invariance nationallicence Acta Applicandae Mathematica Kluwer Academic Publishers; http://www.wkap.nl 44/1-2(1996-08-01), 81-116 0167-8019 44:1-2<81 1996 44 10440 https://doi.org/10.1007/BF00116517 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00116517 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Dobrev V. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, 1784, Sofia, Bulgaria aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers; http://www.wkap.nl 44/1-2(1996-08-01), 81-116 0167-8019 44:1-2<81 1996 44 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer