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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 11, Pages 27–32 (Mi ivm9410)  
This article is cited in 2 scientific papers (total in 2 papers)

Classification of extended Clifford algebras

N. G. Marchuk

Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina str., Moscow, 119991 Russia
Full-text PDF (176 kB) Citations (2)
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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.
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.
Received: 23.10.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 11, Pages 23–27
DOI: https://doi.org/10.3103/S1066369X18110038
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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