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Results tagged with geometric-representation-theory
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user 391
2
votes
Accepted
Quiver variety analogue of Grothendieck-Springer resolution
There are of course two moment maps to vary - the complex one and the real one. In most treatments of quiver varieties one fixes the complex level set to be zero and the real level set to a nonzero mu …
- 27.9k
2
votes
Verma modules and Borel–Weil
I don't think the $\pm$ issue is too deep, and I'm punting on it in favor of answering the other question.
You can get a hold of dual Verma modules by considering distributions on $G/B$ supported on a …
- 27.9k
6
votes
motivating geometric representation theory
Consider triples $(\lambda,\mu,\nu)$ of dominant weights of $G$ such that the irrep $V_\nu$ occurs in $V_\lambda \otimes V_\mu$. Then this space of triples is closed under addition.
Proof. An intertw …
10
votes
Representation viewpoint on Chern–Weil (cohomology computations done with rep theory?)
The construction you describe appears in Tamvakis' The connection between representation theory and Schubert calculus (Enseign. Math. 50 (2004), 267-2860). Basically, instead of working with represent …
- 27.9k