Some algebraic properties of differential operators
Name
1201.1992.pdf
Size
193.32 KB
Format
Adobe PDF
Checksum (MD5)
d1cc8131e8d3351b729f9bc848185c84
Author(s)
Carpentier, Sylvain
De Sole, Alberto
Kac, Victor
Date Issued
June 2012
Journal
Journal of Mathematical Physics
Publisher
AIP Publishing
Citation
Carpentier, Sylvain et al. “Some Algebraic Properties of Differential Operators.” Journal of Mathematical Physics 53, 6 (June 2012): 063501 © 2012 American Institute of Physics
Version
Original manuscript
Abstract
First, we study the subskewfield of rational pseudodifferential operators over a differential field K generated in the skewfield K((∂⁻¹)) of pseudodifferential operators over K by the subalgebra K[∂] of all differential operators. Second, we show that the Dieudonnè 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 then we give an example of a 2 × 2 matrix with entries in A[∂] whose Dieudonnè determinant does not lie in A.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1063/1.4720419
