English

A Proof of the Conjecture by Carpentier-De Sole-Kac

Rings and Algebras 2015-06-11 v1

Abstract

We prove the following conjecture by S. Carpentier, A. De Sole, and V. G. Kac: Let K be a differential field and R be a differential subring of K. Let M be a matrix whose elements are differential operators with coefficents in R. Then, if M has degeneracy degree 1, the Dieudonne' determinant of M lies in R.

Keywords

Cite

@article{arxiv.1412.8498,
  title  = {A Proof of the Conjecture by Carpentier-De Sole-Kac},
  author = {Keaton Stubis},
  journal= {arXiv preprint arXiv:1412.8498},
  year   = {2015}
}