KOSTKA-SHOJI POLYNOMIALS AND LUSZTIG'S CONVOLUTION DIAGRAM

被引：5

作者：

Finkelberg, Michael ^{[1
,2
,3
]}

Ionov, Andrei ^{[1
]}

机构：

[1] Natl Res Univ, Higher Sch Econ, Dept Math, 6 Usacheva St, Moscow 119048, Russia

[2] RAS, Inst Informat Transmiss Problems, Moscow, Russia

[3] Skolkovo Inst Sci & Technol, Moscow, Russia

来源：

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2018年 / 13卷 / 01期

关键词：

Kostka-Shoji polynomials; cyclic quiver; convolution diagram; Frobenius splitting; affine flag variety; Bott-Samelson-Demazure-Hansen resolution;

D O I：

10.21915/BIMAS.2018102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose an r-variable version of Kostka-Shoji polynomials K-lambda mu for r-multipartitions lambda, mu. Our version has positive integral coefficients and encodes the graded multiplicities in the space of global sections of a line bundle over Lusztig's iterated convolution diagram for the cyclic quiver (A) over tilde (r-1).

引用

页码：31 / 42

页数：12

共 18 条

[1]

Achar P., IMPLEMENTATION GEN L

[2] Orbit closures in the enhanced nilpotent cone [J].

Achar, Pramod N. ;

Henderson, Anthony .

ADVANCES IN MATHEMATICS, 2008, 219 (01) :27-62

[3]

BRION M, 2005, PROGR MATH, V231

[4]

Brylinski R. K., 1989, J AM MATH SOC, V2, P517, DOI 10.2307/1990941

[5] Mirabolic affine Grassmannian and character sheaves [J].

Finkelberg, Michael ;

Ginzburg, Victor ;

Travkin, Roman .

SELECTA MATHEMATICA-NEW SERIES, 2009, 14 (3-4) :607-628

[6]

Hu Yue, ARXIV170407947

[7] SPHERICAL-FUNCTIONS AND A Q-ANALOGUE OF KOSTANT WEIGHT MULTIPLICITY FORMULA [J].

KATO, SI .

INVENTIONES MATHEMATICAE, 1982, 66 (03) :461-468

[8]

Lusztig, 1991, J AM MATH SOC, V4, P365

[9]

LUSZTIG G, 1983, ASTERISQUE, P208

[10] GREEN POLYNOMIALS AND SINGULARITIES OF UNIPOTENT CLASSES [J].

LUSZTIG, G .

ADVANCES IN MATHEMATICS, 1981, 42 (02) :169-178

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