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Antiholomorphic Representations for Orthogonal and Symplectic Quantum Groups

✍ Scribed by Pavel Šťovı́ček

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
305 KB
Volume
184
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

The coadjoint orbits for the series B , C , and D 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 deformed universal enveloping algebra are derived as acting in the vector space of polynomials in quantum coordinate functions.

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