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Your search keyword '"Armando Machado"' showing total 2 results
Start Over Author "Armando Machado" Publisher american mathematical society (ams)
2 results on '"Armando Machado"'

1. Higher order symmetric spaces and the roots of the identity in a Lie group

Author

Cecı́lia Ferreira and Armando Machado

Subjects
Algebra, Pure mathematics, Applied Mathematics, General Mathematics, Simple Lie group, Identity (philosophy), media_common.quotation_subject, Symmetric space, Lie group, Order (group theory), Orbit (control theory), Mathematics, media_common
Published
1999

2. A locally closed set with a smooth group structure is a Lie group

Author

Armando Machado

Subjects
Discrete mathematics, Pure mathematics, Applied Mathematics, General Mathematics, Simple Lie group, MathematicsofComputing_GENERAL, Lie group, General linear group, Circle group, Representation of a Lie group, Unitary group, Fundamental vector field, Indefinite orthogonal group, Mathematics
Abstract

We prove the following result. Let V V be a smooth manifold and let G ⊂ V G \subset V be a locally closed set with a group structure such that both multiplication and inversion are smooth maps; then G G is an imbedded smooth submanifold of V V . This result is a generalization of the well-known fact that a closed subgroup of a Lie group is itself a Lie group, because we are not assuming any group structure in the manifold V V .

Published
1982

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