ar X iv : q - a lg / 9 51 10 02 v 1 2 N ov 1 99 5 Phase spaces related to standard classical r - matrices
نویسنده
چکیده
Fundamental representations of real simple Poisson Lie groups are Poisson actions with a suitable choice of the Poisson structure on the underlying (real) vector space. We study these (mostly quadratic) Poisson structures and corresponding phase spaces (symplectic groupoids).
منابع مشابه
ar X iv : q - a lg / 9 71 10 01 v 2 7 N ov 1 99 7 Universal R – matrix for null – plane quantized Poincaré algebra
The universal R–matrix for a quantized Poincaré algebra P(3 + 1) introduced by Ballesteros et al is evaluated. The solution is obtained as a specific case of a formulated multidimensional generalization to the non–standard (Jordanian) quantization of sl(2).
متن کاملar X iv : q - a lg / 9 71 10 01 v 1 3 N ov 1 99 7 Universal R – matrix for null – plane quantized Poincaré algebra
The universal R–matrix for a quantized Poincaré algebra P(3 + 1) introduced by Ballesteros et al is evaluated. The solution is obtained as a specific case of a formulated multidimensional generalization to the non–standard (Jordanian) quantization of sl(2).
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We show that a quantum super matrix in standard format is invertible if and only if its block matrices of even entries are invertible. We prove the q-analog of the well-known formula for the Berezinian.
متن کاملar X iv : a lg - g eo m / 9 71 10 28 v 1 2 1 N ov 1 99 7 On moduli spaces of 4 - or 5 - instanton bundles
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تاریخ انتشار 1995