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Type A quiver loci and Schubert varieties
Journal article

Type A quiver loci and Schubert varieties

Abstract

We describe a closed immersion from each representation space of a type $A$ quiver with bipartite (i.e., alternating) orientation to a certain opposite Schubert cell of a partial flag variety. This ``bipartite Zelevinsky map'' restricts to an isomorphism from each orbit closure to a Schubert variety intersected with the above-mentioned opposite Schubert cell. For type $A$ quivers of arbitrary orientation, we give the same result up to some …

Authors

Kinser R; Rajchgot J

Journal

Journal of Commutative Algebra, Vol. 7, No. 2, pp. 265–301

Publisher

Rocky Mountain Mathematics Consortium

DOI

10.1216/jca-2015-7-2-265

ISSN

1939-0807

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