Relative nonhomogeneous quadratic duality
Abstract
This paper contains a detailed exposition of the nonhomogeneous quadratic duality theory in the relative situation over a noncentral, noncommutative, nonsemisimple base ring, as announced in Section 0.4 of arXiv:0708.3398. We prove the PoincareBirkhoffWitt theorem in this context. The duality between the ring of differential operators and the de Rham DGalgebra, with the ring of functions as the base ring, is the thematic example. The moderate generality level makes the exposition in this paper more accessible than the very heavily technical Section 11 of arXiv:0708.3398.
 Publication:

arXiv eprints
 Pub Date:
 November 2019
 arXiv:
 arXiv:1911.07402
 Bibcode:
 2019arXiv191107402P
 Keywords:

 Mathematics  Rings and Algebras;
 Mathematics  Category Theory
 EPrint:
 LaTeX 2e with mathtools.sty, 82 pages