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Computational Methods and Function Theory 12 (2012), No. 1, 279--306
Copyright Heldermann Verlag 2012

Line Integration of Dirac Operators Over Octonions and Cayley-Dickson Algebras

Sergey V. Ludkovsky
ludkowski@mirea.ru , Moscow State Technical University MIREA, Department of Applied Mathematics, av. Vernadsky 78, Moscow, 119454, Russia.

[Abstract-pdf] [Abstract-ps]

Non-commutative line integration of Dirac operators over octonions and Cayley-Dickson algebras is investigated.

Keywords: Cayley-Dickson algebras, Dirac operator, hypercomplex numbers, line integration, non-commutative, partial differential operator.

MSC 2000: 30G35, 17A05, 17A70, 35G20, 35G30, 35F20, 35F30, 44A10, 46F10.

[FullText-pdf (380 K)] [FullText-ps (644 K)]