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

Michael Finkelberg; Ryo Fujita

doi:10.1090/ert/558

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

Michael Finkelberg^*
, Ryo Fujita

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 language	English
Pages (from-to)	67-89
Number of pages	23
Journal	Representation Theory
Volume	25
DOIs	https://doi.org/10.1090/ert/558
State	Published - 2021
Externally published	Yes

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© 2021 American Mathematical Society

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10.1090/ert/558

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title = "COHERENT IC-SHEAVES ON TYPE An AFFINE GRASSMANNIANS AND DUAL CANONICAL BASIS OF AFFINE TYPE A1",

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.",

author = "Michael Finkelberg and Ryo Fujita",

note = "Publisher Copyright: {\textcopyright} 2021 American Mathematical Society",

year = "2021",

doi = "10.1090/ert/558",

language = "אנגלית",

volume = "25",

pages = "67--89",

journal = "Representation Theory",

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AB - 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.

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

Abstract

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