Demonstration representation and tensor products of Clifford algebras



It is proved that the tensor product of any Clifford algebras is isomorphic to a single Clifford algebra over some commutative algebra. It is also proved that any complex or real Clifford algebra C(p, q) can be represented as a tensor product of Clifford algebras of the second and first orders. A canonical form of such a representation is proposed.


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© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of Russian Academy of SciencesMoscowRussia

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