Biblioteca de la Universidad Complutense de Madrid

Una demostración constructiva de un homeomorfismo entre P3 y SO(3). (A constructive proof of a homomorphism between P3 and SO(3))

Impacto



González Pérez, Pedro Daniel y Almira Picazo, J.M. (2001) Una demostración constructiva de un homeomorfismo entre P3 y SO(3). (A constructive proof of a homomorphism between P3 and SO(3)). La Gaceta de la Real Sociedad Matemática Española, 4 (2). pp. 336-374. ISSN 1138-8927

[img]
Vista previa
PDF
126kB

URL Oficial: http://www.rsme.es/gacetadigital/english/otrosnumeros.php



Resumen

The paper gives a very elementary proof of the well-known result that the projective space P3 is homeomorphic to the special orthogonal Lie group SO(3). The proof uses only linear algebra, elementary topology and elementary affine geometry. One of its motivations is the theory developed in the classical book of M. L. Curtis [Matrix groups, Springer, New York, 1979; MR0550439 (81c:22001)].
The paper is also very useful for young students in mathematics to become initiated in Lie theory and its applications.


Tipo de documento:Artículo
Palabras clave:Lie groups
Materias:Ciencias > Matemáticas > Grupos (Matemáticas)
Código ID:12524
Depositado:04 Abr 2011 15:52
Última Modificación:06 Feb 2014 09:26

Sólo personal del repositorio: página de control del artículo