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| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Fed Brasilia, Dept Math, Brasilia, DF - Brazil
[2] Univ Estadual Campinas, Inst Math, Campinas, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | INDAGATIONES MATHEMATICAE-NEW SERIES; v. 26, n. 3, p. 547-579, MAY 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
We study the isotropy representation of real flag manifolds associated to simple Lie algebras that are split real forms of complex simple Lie algebras. For each Dynkin diagram the invariant irreducible subspaces for the compact part of the isotropy subgroup are described. Contrary to the complex flag manifolds the decomposition into irreducible components is not unique in general. In other words there are cases with infinitely many invariant subspaces. (C) 2015 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |