dorsal/arxiv
View SchemaAntiholomorphic representations for orthogonal and symplectic quantum groups
| Authors | P. Stovicek |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9512013 |
| URL | https://arxiv.org/abs/q-alg/9512013 |
Abstract
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 $\ast$-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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"abstract": "The coadjoint orbits for the series $B_l,\\ C_l$ and $D_l$ are considered in\nthe case when the base point is a multiple of a fundamental weight. A\nquantization of the big cell is suggested by means of introducing a\n$\\ast$-algebra generated by holomorphic coordinate functions. Starting from\nthis algebraic structure the irreducible representations of the deformed\nuniversal enveloping algebra are derived as acting in the vector space of\npolynomials in quantum coordinate functions.",
"arxiv_id": "q-alg/9512013",
"authors": [
"P. Stovicek"
],
"categories": [
"q-alg",
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"title": "Antiholomorphic representations for orthogonal and symplectic quantum groups",
"url": "https://arxiv.org/abs/q-alg/9512013"
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