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Double Flag Varieties and Representations of Quivers

2021/03/26 by Homma, Hiroki
#14L30 #14M15 #16G20 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2103.14509

Abstract

We gave a classification of P and Q with a finite number of K-orbits of a double flag variety G/P*K/Q for a symmetric pair (G, K) when G=GLm+n and K=GLm*GLn, and a description of K-orbits when the number of K-orbits of G/P*K/Q is finite. We solved the problem by providing a correspondence between the K-orbits and the quiver representations.

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