The bar automorphism in quantum groups and geometry of quiver representations

Details The bar automorphism in quantum groups and geometry of quiver representations The bar automorphism in quantum groups and geometry of quiver representations

2004-06-10

arxiv.org/abs/math/0406211v1

Mathematics

Representation Theory

9 pages

Scientific paper

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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