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Deformations of the Exterior Algebra of ...
Molinuevo, Ariel...

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Deformations of the Exterior Algebra of Differential Forms by Molinuevo, Ariel ( Author )
Lemonjar Open Access
N.A
10-03-2015
Let D:Ω→Ω be a differential operator defined in the exterior algebra Ω of differential forms over the polynomial ring S in n variables. In this work we give conditions for deforming the module structure of Ω over S induced by the differential operator D, in order to make D an S-linear morphism while leaving the C-vector space structure of Ω unchanged. One can then apply the usual algebraic tools to study differential operators: finding generators of the kernel and image, computing a Hilbert polynomial of these modules, etc. Taking differential operators arising from a distinguished family of derivations, we are able to classify which of them allow such deformations on Ω. Finally we give examples of differential operators and the deformations that they induce.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1503.03032
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