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Extreme modules over the Weyl algebraA n

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Abstract

Certain classes of simple modules over generalized Weyl algebras (extreme modules, polynomial modules, and modules with strongD-torsion) are classified. For these algebras, analogs of the Bernshtein and Stafford theorems are proved.

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Authors and Affiliations

  1. Kiev University, Kiev

    V. V. Bavula

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  1. V. V. Bavula
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 9, pp. 1187–1197, September, 1993.

The author expresses his gratitude to Prof. Yu. M. Berezanskii, Prof. Yu. A. Drozd, and Prof. Yu. S. Samoilenko for fruitful discussions and remarks.

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Bavula, V.V. Extreme modules over the Weyl algebraA n . Ukr Math J 45, 1327–1338 (1993). https://doi.org/10.1007/BF01058631

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  • DOI: https://doi.org/10.1007/BF01058631

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