Quantized moduli spaces of the bundles on the elliptic curve and their applications

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We quantize the coordinate ring of the moduli space of B-bundles on the elliptic curve. Here B is a Borel subgroup of some semisimple Lie group. We construct some representations of these algebras and study intertwining operators for these representations. We apply our constructions to produce some objects: the elliptic Belavin R-matrix, the quantization of the algebra of functions on the Grassmannian, some generalized elliptic R-matrix. We consider also the affine case and write down the explicit formula for commuting elements.
21 pages, AMSTex

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/77824

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812059
 http://arxiv.org/abs/math/9812059

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arXiv