Mirabolic affine Grassmannian and character sheaves

Mirabolic affine Grassmannian and character sheaves
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米拉线仿射格拉斯曼函数和特征滑轮

DOI:
10.1007/s00029-009-0509-x
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发表时间:
2008
期刊:
Selecta Mathematica
影响因子:
--
通讯作者:
Roman Travkin
Roman Travkin
中科院分区:
--
文献类型:
--
作者:
M. Finkelberg;V. Ginzburg;Roman Travkin

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本文计算了定义在有限域上的奇异特征标层的Frobenius迹函数。利用有限域上一般线性群的特征标值和Shoji提出的对称函数的双曲Hall-Littlewood基的乘法结构常数给出了答案。
Abstract.We compute the Frobenius trace functions of mirabolic character sheaves defined over a finite field. The answer is given in terms of the character values of general linear groups over the finite field, and the structure constants of multiplication in the mirabolic Hall–Littlewood basis of symmetric functions, introduced by Shoji.
DOI: 10.2969/aspm/04010443
发表时间: 2004
期刊: Cell
影响因子: 64.5
作者:
T. Shoji
通讯作者: T. Shoji