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Clifford algebras, matrix algebras and classical groups. (English) Zbl 0597.15018
By analyzing the automorphism groups of the Clifford algebra it is shown how any matrix algebra over either the real or the complex number field can be associated with one of the classical Lie groups. These Lie groups, so associated with the matrix algebra over the quaternion division algebra are also identified.
Reviewer: P.Rudra
MSC:
15A66 Clifford algebras, spinors
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