Differential Systems Associated with Simple Graded Lie Algebras

Differential Systems Associated with Simple Graded Lie Algebras
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与简单分级李代数相关的微分系统

DOI:
10.2969/aspm/02210413
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发表时间:
1993
影响因子:
4.9
通讯作者:
K. Yamaguchi
K. Yamaguchi
中科院分区:
数学1区
文献类型:
--
作者:
K. Yamaguchi

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本文是一篇关于与单分次李代数有关的微分系统的综述。我们所说的微分系统(M,D)是指流形M上的pfaffian系统D(或Chvalley意义下的分布),即D是M的切丛T(M)的子丛。我们的主要主题是(M,D)的所有无穷小自同构的李代数(层)A(M,D)。设9是实数域IR上的单李代数。灰度为9的{9p}pez是直接分解9=EBpEZ f!p,使得
This is a survey paper on differential systems associated with simple graded Lie algebras. By a differential system (M, D), we mean a pfaffian system D ( or a distribution in Chevalley's sense) on a manifold M, that is, D is a subbundle of the tangent bundle T(M) of M. Our primary subject will be the Lie algebra (sheaf) A(M, D) of all infinitesimal automorphisms of (M, D). Let 9 be a simple Lie algebra over the field IR of real numbers. A gradation {9p}pEZ of 9 is a direct decomposition 9 = EBpEZ f!p such that
DOI: --
发表时间: 2005
期刊:
影响因子: --
作者:
T. Kobayashi;T. Oshima
通讯作者: T. Oshima