A special irreducible matrix representation of the real Clifford algebra C(3,1)

Journal of Mathematical Physics

Volumn 40, Issue 7, 1999, Pages 3616-3631

  Scharnhorst, K ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

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EID: 0033243809     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532912     Document Type: Article

References (77)

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74. 0,2 associated with C(0,2) the rectangular coordinate system is mapped 4 times onto itself (allowing reflections). Taking into account the different number of generators of C(3,0) and C(0,2), 3 and 2, respectively, this leads to a natural explanation for the difference.
75. A related discussion can be found in Ref. 69, Vol. 2, Mathematische Zusätze und Ergänzungen [Mathematical Supplements], no. 13: Zwei- und vierreihige Matrizen. Darstellung der hyperkomplexen γ-Einheiten durch Matrizen. Zu Kap. IV, § 5 [Two- and four-row matrices. Representation of the hypercomplex y units by matrices. To Chap. IV, § 5], p. 780 of the cited German edition, also earlier editions of Ref. 69, Vol. 2, contain this material in some appendix.
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77. A. Sommerfeld, Atombau und Spektrallinien, 3rd ed. (Vieweg, Braunschweig, 1951); reprint (Verlag Harri Deutsch, Thun, 1978); English translation of an earlier edition: Atomic Structure and Spectral Lines (Methuen, London, 1934) (Dutton, New York, 1934), 3rd rev. ed.