Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 154–165
DOI: https://doi.org/10.1134/S0371968515030139 (Mi tm3635) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Demonstration representation and tensor products of Clifford algebras

N. G. Marchuk

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (202 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968515030139
Abstract: 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 $\mathcal C\!\ell (p,q)$ 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.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 143–154
DOI: https://doi.org/10.1134/S0081543815060139
Bibliographic databases:
Document Type: Article
UDC: 512.81
Language: Russian
Citation: N. G. Marchuk, “Demonstration representation and tensor products of Clifford algebras”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 154–165; Proc. Steklov Inst. Math., 290:1 (2015), 143–154
Citation in format AMSBIB
\Bibitem{Mar15}
\by N.~G.~Marchuk
\paper Demonstration representation and tensor products of Clifford algebras
\inbook Modern problems of mathematics, mechanics, and mathematical physics
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 290
\pages 154--165
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3635}
\crossref{https://doi.org/10.1134/S0371968515030139}
\elib{https://elibrary.ru/item.asp?id=24045400}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2015
\vol 290
\issue 1
\pages 143--154
\crossref{https://doi.org/10.1134/S0081543815060139}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000363268500013}
\elib{https://elibrary.ru/item.asp?id=24962289}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944675517}
Linking options:
  • https://www.mathnet.ru/eng/tm3635
  • https://doi.org/10.1134/S0371968515030139
  • https://www.mathnet.ru/eng/tm/v290/p154
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:428
    Full-text PDF :107
    References:54
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024