Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators

Vladimir Bavula; Victor Bekkert; Vyacheslav Futorny

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arXiv · 1612.09391

Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators

Vladimir Bavula·Victor Bekkert·Vyacheslav Futorny

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Abstract

For the algebra L= K of polynomial integro-differential operators over a field K of characteristic zero, a classification of indecomposable, generalized weight L-modules of finite length is given. Each such module is an infinite dimensional uniserial module. Ext-groups are found between indecomposable generalized weight modules, it is proven that they are finite dimensional vector spaces.

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BibTeX RIS

Vladimir Bavula, Victor Bekkert, Vyacheslav Futorny. 2016-12-30. Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators. https://arxiv.org/abs/1612.09391

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