The bar automorphism in quantum groups and geometry of quiver representations
classification
🧮 math.RT
math.AG
keywords
automorphismquivertermsvarietiesalgebraanaloguesconstructibleduality
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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.
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