Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

被引：6

作者：

Avdeev, R. S. ^{[1
]}

Gorfinkel, N. E. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2012年 / 46卷 / 03期

关键词：

algebraic group; homogeneous space; spherical subgroup; representation; semigroup; COMPLEXITY;

D O I：

10.1007/s10688-012-0023-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For all spherical homogeneous spaces G/H, where G is a simply connected semisimple algebraic group and H a connected solvable subgroup of G, we compute the spectra of representations of G on spaces of regular sections of homogeneous line bundles over G/H.

引用

页码：161 / 172

页数：12

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