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Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 11, Pages 27–32 (Mi ivm9410)  

Classification of extended Clifford algebras

N. G. Marchuk

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

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.

Funding Agency Grant Number
Russian Science Foundation 14-50-00005
The work was supported by the grant of the Russian Science Foundation 14-50-00005.


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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:11, 23–27

Bibliographic databases:

Document Type: Article
UDC: 517.958
Received: 23.10.2017

Citation: N. G. Marchuk, “Classification of extended Clifford algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 11, 27–32; Russian Math. (Iz. VUZ), 62:11 (2018), 23–27

Citation in format AMSBIB
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