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A construction of representations and quantum homogeneous spaces

P. Stovicek
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Abstract

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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BibTeXRIS

P. Stovicek. 1998-11-06. A construction of representations and quantum homogeneous spaces. https://arxiv.org/abs/math/9811034

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