ANTIHOLOMORPHIC REPRESENTATIONS FOR ORTHOGONAL AND SYMPLECTIC QUANTUMGROUPS

The coadjoint orbits for the series B-l,C-l, and D-l are considered in the case when the base point is a multiple of a fundamental weight. A quantization of the big cell is suggested by means of introducing a -algebra generated by holomorphic coordinate functions. Starting from this algebraic structure the irreducible representations of the deform ed universal enveloping algebra are derived as acting in the vector sp ace of polynomials in quantum coordinate functions. (C) 1996 Academic Press, Inc.