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arXiv:2103.14509 [math.RT]AbstractReferencesReviewsResources

Double Flag Varieties and Representations of Quivers

Hiroki Homma

Published 2021-03-26Version 1

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=GL_{m+n} and K=GL_{m}*GL_{n}, 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.

Comments: 20 pages
Categories: math.RT
Subjects: 14M15, 16G20, 14L30
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