arXiv Open Access 2012

Some algebraic properties of differential operators

Sylvain Carpentier Alberto De Sole Victor G. Kac

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Abstrak

First, we study the subskewfield of rational pseudodifferential operators over a differential field K generated in the skewfield of pseudodifferential operators over K by the subalgebra of all differential operators. Second, we show that the Dieudonne' determinant of a matrix pseudodifferential operator with coefficients in a differential subring A of K lies in the integral closure of A in K, and we give an example of a 2x2 matrix differential operator with coefficients in A whose Dieudonne' determiant does not lie in A.

Topik & Kata Kunci

math.RA math-ph nlin.SI

Penulis (3)

Sylvain Carpentier

Alberto De Sole

Victor G. Kac

Format Sitasi

APA MLA BibTeX

Carpentier, S., Sole, A.D., Kac, V.G. (2012). Some algebraic properties of differential operators. https://arxiv.org/abs/1201.1992

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓