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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 1, Pages 11–34
DOI: https://doi.org/10.4213/tmf8384
(Mi tmf8384)
 

This article is cited in 13 scientific papers (total in 13 papers)

Pauli theorem in the description of $n$-dimensional spinors in the Clifford algebra formalism

D. S. Shirokov

Steklov Mathematical Institute, RAS, Moscow, Russia
References:
Abstract: We discuss a generalized Pauli theorem and its possible applications for describing $n$-dimensional (Dirac, Weyl, Majorana, and Majorana–Weyl) spinors in the Clifford algebra formalism. We give the explicit form of elements that realize generalizations of Dirac, charge, and Majorana conjugations in the case of arbitrary space dimensions and signatures, using the notion of the Clifford algebra additional signature to describe conjugations. We show that the additional signature can take only certain values despite its dependence on the matrix representation.
Keywords: Pauli theorem, Clifford algebra, Dirac conjugation, charge conjugation, Majorana conjugation, Majorana–Weyl spinor, Clifford algebra additional signature.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-2928.2012.1
8215
Received: 18.06.2012
Revised: 02.11.2012
English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 1, Pages 454–474
DOI: https://doi.org/10.1007/s11232-013-0038-9
Bibliographic databases:
Document Type: Article
PACS: 11.30.Er
MSC: 15A66
Language: Russian
Citation: D. S. Shirokov, “Pauli theorem in the description of $n$-dimensional spinors in the Clifford algebra formalism”, TMF, 175:1 (2013), 11–34; Theoret. and Math. Phys., 175:1 (2013), 454–474
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v175/i1/p11
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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