A BRANCHING LAW FOR SPIN (7,C)-]G2 AND ITS APPLICATIONS TO UNIPOTENT REPRESENTATIONS

被引：13
|
作者：
MCGOVERN, WM
机构：
[1] Department of Mathematics, Yale University, New Haven
来源：
JOURNAL OF ALGEBRA | 1990年 / 130卷 / 01期
关键词：
D O I：
10.1016/0021-8693(90)90106-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive a branching law which says how irreducible finite-dimensional Spin(7,C)-modules decompose over G2, using the Bott-Borel-Weil theorem. We then use this to calculate the K-types on each level of a certain filtered algebra which is also a U (Lie G2)-bimodule explicitly. © 1990.
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页码：166 / 175
页数：10
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