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The bar automorphism in quantum groups and geometry of quiver representations

Philippe Caldero·Markus Reineke
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Abstract

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.

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Philippe Caldero, Markus Reineke. 2004-06-10. The bar automorphism in quantum groups and geometry of quiver representations. https://arxiv.org/abs/math/0406211

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