A construction of representations and quantum homogeneous spaces

Details A construction of representations and quantum homogeneous spaces A construction of representations and quantum homogeneous spaces

1998-11-06

arxiv.org/abs/math/9811034v1

Mathematics

Quantum Algebra

AMSTeX file; to appear in Lett. Math. Phys

Scientific paper

A simplified construction of representations is presented for the quantized enveloping algebra Uq(g), with g being a simple complex Lie algebra belonging to one of the four principal series A, B, C or D. The carrier representation space is the quantized algebra of polynomials in antiholomorphic coordinate functions on the big cell of a coadjoint orbit of K where K is the compact simple Lie group with the Lie algebra g - the compact form of g.

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