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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A note on the Bruhat decomposition of semisimple Lie groups

Author(s):
Seco, Lucas [1]
Total Authors: 1
Affiliation:
[1] Univ Estadual Campinas, Inst Matemat, BR-13081970 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: JOURNAL OF LIE THEORY; v. 18, n. 3, p. 725-731, 2008.
Web of Science Citations: 1
Abstract

Let a split element of a connected semisimple Lie group act on one of its flag manifolds. We prove that each connected set of fixed points of this action is itself a flag manifold. With this we can obtain a generalized Bruhat decomposition of a semisimple Lie group by entirely dynamical arguments. (AU)