Strictly nilpotent elements and bispectral operators in the Weyl algebra
数学物理
2007-05-23 v1 math.MP
摘要
In this paper we give another characterization of the strictly nilpotent elements in the Weyl algebra, which (apart from the polynomials) turn out to be all bispectral operators with polynomial coefficients. This also allows to reformulate in terms of bispectral operators the famous conjecture, that all the endomorphisms of the Weyl algebra are automorphisms (Dixmier, Kirillov, etc).
引用
@article{arxiv.math-ph/0206030,
title = {Strictly nilpotent elements and bispectral operators in the Weyl algebra},
author = {Emil Horozov},
journal= {arXiv preprint arXiv:math-ph/0206030},
year = {2007}
}
备注
11 pages, to appear in Bull. Sci. Math