- Turkish Journal of Mathematics
- Vol: 31 Issue: 2
- The Construction of Maximum Independent Set of Matrices via Clifford Algebras
The Construction of Maximum Independent Set of Matrices via Clifford Algebras
Authors : Nedim Değirmenci, Nülifer Özdemir
Pages : 193-205
View : 10 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In [1], [2] and [6] the maximum number of some special type n x n matrices with elements in F whose nontrivial linear combinations with real coefficients are nonsingular is studied where F is the real field R, the complex field C or the skew field H of quaternions. In this work we construct such matrices explicitly by using representations of Clifford algebras. At the end we give some analogues of the celebrated theorem of Radon-Hurwitz.Keywords : Hurwitz Theorem, Clifford algebras, maximum independent set of matrices