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Involutive Bases in the Weyl Algebra

✍ Scribed by Marcus Hausdorf; Werner M. Seiler; Rainer Steinwandt

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 448 KB
Volume: 34
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.2002.0556

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✦ Synopsis

We discuss the definition and the construction of involutive bases, a special kind of Gröbner bases, for left ideals in the Weyl algebra. We consider not only term orders, for which the extension is straightforward, but also the more general case of multiplicative monomial orders.

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