COHERENT IC-SHEAVES ON TYPE An AFFINE GRASSMANNIANS AND DUAL CANONICAL BASIS OF AFFINE TYPE A1

Michael Finkelberg, Ryo Fujita

Research output: Contribution to journalArticlepeer-review

Abstract

The convolution ring (Formula presented) was identified with a quantum unipotent cell of the loop group LSL2 in Cautis and Williams [J. Amer. Math. Soc. 32 (2019), pp. 709–778]. We identify the basis formed by the classes of irreducible equivariant perverse coherent sheaves with the dual canonical basis of the quantum unipotent cell.

Original languageEnglish
Pages (from-to)67-89
Number of pages23
JournalRepresentation Theory
Volume25
DOIs
Publication statusPublished - 2021

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