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.
机构:East China Normal Univ, Dept Math, Res Ctr Operator Algebras, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R China
Lin, Huaxin
Sun, Wei
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East China Normal Univ, Dept Math, Res Ctr Operator Algebras, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R ChinaEast China Normal Univ, Dept Math, Res Ctr Operator Algebras, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R China