%ASerhiyenko, K. [Department of Mathematics University of California at Berkeley Berkeley CA 94720 USA]%ASerhiyenko, K. [Department of MathematicsUniversity of California at BerkeleyBerkeley CA 94720 USA]%ASherman‐Bennett, M. [Department of Mathematics University of California at Berkeley Berkeley CA 94720 USA]%ASherman‐Bennett, M. [Department of MathematicsUniversity of California at BerkeleyBerkeley CA 94720 USA]%AWilliams, L. [Department of Mathematics Harvard University Cambridge MA 02138 USA]%AWilliams, L. [Department of MathematicsHarvard UniversityCambridge MA 02138 USA]%BJournal Name: Proceedings of the London Mathematical Society; Journal Volume: 119; Journal Issue: 6; Related Information: CHORUS Timestamp: 2023-08-17 05:06:22 %D2019%IOxford University Press (OUP) %JJournal Name: Proceedings of the London Mathematical Society; Journal Volume: 119; Journal Issue: 6; Related Information: CHORUS Timestamp: 2023-08-17 05:06:22 %K %MOSTI ID: 10114439 %PMedium: X %TCluster structures in Schubert varieties in the Grassmannian %X
In this article we explain how the coordinate ring of each (open) Schubert variety in the Grassmannian can be identified with a cluster algebra, whose combinatorial structure is encoded using (target labelings of) Postnikov's