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Russian Mathematics

, Volume 62, Issue 11, pp 23–27 | Cite as

Classification of Extended Clifford Algebras

  • N. G. MarchukEmail author
Article
  • 12 Downloads

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.

Keywords

Clifford algebra quasi-Clifford algebras extended Clifford algebra tensor product Cartan–Bott periodicity complexification 

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Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

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

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