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arXiv · 1412.8498

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

Keaton Stubis
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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.

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Keaton Stubis. 2014-12-29. A Proof of the Conjecture by Carpentier-De Sole-Kac. https://doi.org/10.1063/1.4919888

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