Branching laws for square integrable representations

被引：28

作者：

Duflo, Michel ^{[1
]}

Antonio Vargas, Jorge ^{[2
]}

机构：

[1] Univ Paris 07, UFR Math, F-75205 Paris 15, France

[2] Univ Nacl Cordoba, FAMAF, CIEM, RA-5000 Cordoba, Argentina

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2010年 / 86卷 / 03期

关键词：

Discrete series; square integrable representations; branching laws; multiplicity formulas; REDUCTIVE SUBGROUPS; DISCRETE DECOMPOSABILITY; LIE-GROUPS; RESTRICTION; A(Q)(LAMBDA); RESPECT; ORBITS; SPACES;

D O I：

10.3792/pjaa.86.49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we study square integrable representations of a real reductive Lie group with admissible restriction to some reductive subgroup. We give a simple condition which insures admissibility of the restriction, and which allows to compute the branching numbers in a simple explicit manner by means of partition functions, generalizing the multiplicity formulas due to Kostant-Heckman and Hecht-Schmid. We consider also the semi-classical analogue of these results for coadjoint orbits.

引用

页码：49 / 54

页数：6

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