Explicit isomorphisms of real Clifford algebras

N. Değırmencı and Ş. Karapazar

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-13

Abstract:

It is well known that the Clifford algebra Cl p , q associatedto a nondegenerate quadratic form on ℝ n ( n = p + q ) is isomorphic to a matrix algebra K ( m ) or direct sum K ( m ) ⊕ K ( m ) of matrix algebras, where K = ℝ , ℂ , ℍ . On the other hand, there areno explicit expressions for these isomorphisms in literature. Inthis work, we give a method for the explicit construction of theseisomorphisms.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:078613

DOI: 10.1155/IJMMS/2006/78613

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