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Classification of Extended Clifford Algebras

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Abstract

Considering tensor products of special commutative algebras and general real Clifford algebras, we arrive at extended Clifford algebras. We have found that there are five types of extended Clifford algebras. The class of extended Clifford algebras is closed with respect to the tensor product.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    N. G. Marchuk

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  1. N. G. Marchuk
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Correspondence to N. G. Marchuk.

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Original Russian Text © N.G. Marchuk, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 11, pp. 27–32.

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Marchuk, N.G. Classification of Extended Clifford Algebras. Russ Math. 62, 23–27 (2018). https://doi.org/10.3103/S1066369X18110038

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  • DOI: https://doi.org/10.3103/S1066369X18110038

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