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

COHERENT IC-SHEAVES ON TYPE An AFFINE GRASSMANNIANS AND DUAL CANONICAL BASIS OF AFFINE TYPE A1
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发表时间:
2021
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通讯作者:
Ryo Fujita
Ryo Fujita
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其他
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作者:
Ryo Fujita

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.卷积环KGL n(O)(cid:2)C ×(Gr GL n)在Cautis和威廉姆斯[J. Amer. Math. Soc. 32(2019),pp. 709-778]。我们确定了由不可约等变反常相干层类形成的基与量子单能胞的对偶正则基。
. The convolution ring K GL n ( O ) (cid:2)C × (Gr GL n ) was identified with a quantum unipotent cell of the loop group LSL 2 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.