On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras

被引：5

作者：

He, Haian ^{[1
]}

Kubo, Toshihisa ^{[2
]}

Zierau, Roger ^{[3
]}

机构：

[1] Shanghai Univ, Coll Sci, Dept Math, Shanghai, Peoples R China

[2] Ryukoku Univ, Fac Econ, Kyoto, Japan

[3] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

KYOTO JOURNAL OF MATHEMATICS | 2019年 / 59卷 / 04期

关键词：

PREHOMOGENEOUS VECTOR-SPACES; CONFORMALLY INVARIANT-SYSTEMS; HIGHEST WEIGHT MODULES; ANALYTIC CONTINUATION; B-FUNCTIONS; UNITARIZABILITY; SERIES;

D O I：

10.1215/21562261-2019-0027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we explicitly list all reducible scalar-type generalized Verma modules for all maximal parabolic subalgebras of the simple complex Lie algebras.

引用

页码：787 / 813

页数：27

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