On Nonsingular Matrices and Bott Periodicity
Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 97 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We give a $K$-theoretic proof of the estimate for the maximum dimension of real vector spaces of nonsingular matrices of order $n$ over the field of real, complex numbers and quaternions.
Classification : 19M05
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     author = {Zoran Z. Petrovi\'c},
     title = {On {Nonsingular} {Matrices} and {Bott} {Periodicity}},
     journal = {Publications de l'Institut Math\'ematique},
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Zoran Z. Petrović. On Nonsingular Matrices and Bott Periodicity. Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 97 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a8/