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Algebraic Analysis of Differential Equations

open access: yes, 2008
Given any algebra over a field with a finite number of generators, we define a first order partial differential operator acting on functions taking their values in the algebra. While being not canonical, the construction is fairly natural. We call this differential operator Dirac operator related to the algebra, and show some examples.
Osetrova, Tatyana A., Tarkhanov, Nikolai
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