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On commutative differential algebras

โœ Scribed by Lothar Berg


Publisher
Springer
Year
1994
Tongue
English
Weight
382 KB
Volume
63
Category
Article
ISSN
0003-889X

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For a commutative differential algebra., , if \(p_{1}\) and \(p_{2}\) are prime ideals with \(p_{1} \subset p_{2}, p_{1} \neq p_{2}\), and \(D\left(p_{1}\right)\) not contained in \(p_{2}\), then there exists a prime ideal \(p_{3} \subset p_{2}\), with \(p_{3} \not p_{1}\) and \(p_{1} \not p_{3}\) a

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โœ Masoto Kimura; Pol Vanhaecke ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ French โš– 146 KB

We consider for fixed positive integers p and q which are coprime the space of all pairs (P , Q) of commuting matrix differential operators (of a fixed size n), where P is monic of order p and Q is normalized of order q. We use the vector valued Sato Grassmannian to construct a natural bijection to