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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)
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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 Cℓ(p,q)Cℓ(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
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\pages 154--165
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    • This publication is cited in the following 10 articles:
    1. S. P. Kuznetsov, V. V. Mochalov, V. P. Chuev, “O teoreme Pauli v algebrakh Klifforda nechetnoi razmernosti”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 32:1 (2022), 44–61  mathnet  crossref  mathscinet
    2. N. G. Marchuk, D. S. Shirokov, “Local generalization of Pauli's theorem”, Azerbaijan J. Math., 10:1 (2020), 38–56  mathscinet  isi
    3. S. P. Kuznetsov, V. V. Mochalov, V. P. Chuev, “On Pauli's theorem in Clifford algebras”, Russian Math. (Iz. VUZ), 63:11 (2019), 13–27  mathnet  crossref  crossref  isi
    4. V. V. Zharinov, “Analysis in Noncommutative Algebras and Modules”, Proc. Steklov Inst. Math., 306 (2019), 90–101  mathnet  crossref  crossref  mathscinet  isi  elib
    5. S. P. Kuznetsov, V. V. Mochalov, V. P. Chuev, “On Pauli's theorem in the Clifford algebra R-1,R-3”, Adv. Appl. Clifford Algebr., 29:5 (2019), UNSP 103  crossref  mathscinet  isi  scopus
    6. V. V. Zharinov, “Analysis in algebras and modules”, Proc. Steklov Inst. Math., 301 (2018), 98–108  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    7. A. S. Trushechkin, “Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional”, Proc. Steklov Inst. Math., 301 (2018), 262–271  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    8. N. G. Marchuk, “Classification of extended Clifford algebras”, Russian Math. (Iz. VUZ), 62:11 (2018), 23–27  mathnet  crossref  isi
    9. B. O. Volkov, “Stochastic Levy differential operators and Yang–Mills equations”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:2 (2017), 1750008  crossref  mathscinet  zmath  isi  scopus
    10. A. K. Gushchin, “Lp-estimates for the nontangential maximal function of the solution to a second-order elliptic equation”, Sb. Math., 207:10 (2016), 1384–1409  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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