González Pérez, Pedro Daniel and 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
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.
|Uncontrolled Keywords:||Lie groups|
|Subjects:||Sciences > Mathematics > Group Theory|
|Deposited On:||04 Apr 2011 15:52|
|Last Modified:||06 Feb 2014 09:26|
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