Coherent IC-sheaves on type ????_{????} affine Grassmannians and dual canonical basis of affine type ?????

نویسندگان

چکیده

The convolution ring $K^{GL_n(\mathcal{O})\rtimes\mathbb{C}^\times}(\mathrm{Gr}_{GL_n})$ was identified with a quantum unipotent cell of the loop group $LSL_2$ in [Cautis-Williams, J. Amer. Math. Soc. 32 (2019), pp. 709-778]. We identify basis formed by classes irreducible equivariant perverse coherent sheaves dual canonical cell.

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ژورنال

عنوان ژورنال: Representation Theory of The American Mathematical Society

سال: 2021

ISSN: ['1088-4165']

DOI: https://doi.org/10.1090/ert/558