Two properties of endomorphisms of Weyl algebras
Rings and Algebras
2015-08-12 v1 Algebraic Geometry
Quantum Algebra
Abstract
We show that endomorphisms of Weyl algebras over fields of characteristic zero are flat and that birational endomorphisms are automorphisms by reducing to positive characteristic. We also give examples showing that endomorphisms of Weyl algebras are not in general flat over fields of positive characteristic.
Keywords
Cite
@article{arxiv.1508.02499,
title = {Two properties of endomorphisms of Weyl algebras},
author = {Niels Lauritzen and Jesper Funch Thomsen},
journal= {arXiv preprint arXiv:1508.02499},
year = {2015}
}