Abstract
All the modules over Weyl algebras that will appear are built out of some basic irreducible modules, in the sense that they have finite composition series in which only these modules appear. It is thus useful to give a quick description of these modules. Denote by F the base field (of characteristic 0) over which V,U := V* are finite-dimensional vector spaces of dimension s. We can take either \(F = \mathbb{R}\) or \(F = \mathbb{C}\).
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© 2011 Springer Science+Business Media, LLC
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De Concini, C., Procesi, C. (2011). Modules over the Weyl Algebra. In: Topics in Hyperplane Arrangements, Polytopes and Box-Splines. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-78963-7_4
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DOI: https://doi.org/10.1007/978-0-387-78963-7_4
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Publisher Name: Springer, New York, NY
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Online ISBN: 978-0-387-78963-7
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