Nilpotent Lie Groups

Nilpotent Lie Groups
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幂零李群

DOI:
10.1007/bfb0087594
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发表时间:
1976
期刊:
影响因子:
--
通讯作者:
R. Goodman
R. Goodman
中科院分区:
--
文献类型:
--
作者:
R. Goodman

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这些笔记是根据讲座期间,作者在冬季学期1975/76在比勒费尔德大学。讲座的目的是介绍幂零李群在半单李群的表示论、复分析和偏微分方程中的一些最新应用。一个补充的目标是从”整体”的角度描述单连通幂零李群的某些结构方面(与方便但往往没有启发性的维数归纳处理相反)。
These notes are based on lectures given by the author during the Winter semester 1975/76 at the University of Bielefeld. The goal of the lectures was to present some of the recent uses of nilpotent Lie groups in the representation theory of semi-simple Lie groups, complex analysis, and partial differential equations. A complementary objective was to describe certain structural aspects of simply-connected nilpotent Lie groups from a" global" point of view (as opposed to the convenient but often unenlightening induction-on-dimension treatment).