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Abstract
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In a previous article (Amano and Masuoka, 2005), the author and Masuoka developed a Picard-Vessiot theory for module algebras over a cocommutative pointed smooth Hopf algebra D. By using the notion of Artinian simple (AS)D-module algebras, it generalizes and unifies the standard Picard-Vessiot theories for linear differential and difference equations. The purpose of this article is to define the notion of Liouville extensions of AS D-module algebras and to characterize the corresponding Picard-Vessiot group schemes.
Journal
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- Communications in algebra
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Communications in algebra 34 (5), 1811-1823, 2006-06
Taylor & Francis Group
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Details
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- CRID
- 1050282677594113152
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- NII Article ID
- 120007131212
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- NII Book ID
- AA00611371
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- ISSN
- 00927872
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- HANDLE
- 2241/104410
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles
- KAKEN