The bar automorphism in quantum groups and geometry of quiver representations

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Two geometric interpretations of the bar automorphism in the positive part of a quantized enveloping algebra are given. The first is in terms of numbers of rational points over finite fields of quiver analogues of orbital varieties; the second is in terms of a duality of constructible functions provided by preprojective varieties of quivers.
9 pages

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Representation Theory, Algebraic Geometry, 14L30; 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/71522

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406211
 http://arxiv.org/abs/math/0406211

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arXiv