N. Lauritzen

activity

20022026

most citedHomogeneous Buchberger algorithms and Sullivant's computational commutative algebra challenge

6 citations · 10 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.RA2026

Hochschild cohomology and lifts of endomorphisms

Niels Lauritzen, Jesper Funch Thomsen

We study when algebra endomorphisms can be lifted to first-order flat lifts. To a first-order flat lift of an algebra and an endomorphism, we associate a canonical class in Hochsch…

math.RA2026

Lifts of endomorphisms of Weyl algebras modulo $p^{2}$

Niels Lauritzen, Jesper Funch Thomsen

Let $φ$ denote a $k$ -algebra endomorphism of the $n$ -th Weyl algebra $A_{n} (k)$ over a perfect field $k$ of positive characteristic $p$ . We prove that $φ$ can be lifted to an endomor…

math.RA2019

The graph of a Weyl algebra endomorphism

Niels Lauritzen, Jesper Funch Thomsen

Endomorphisms of Weyl algebras are studied using bimodules. Initially, for a Weyl algebra over a field of characteristic zero, Bernstein's inequality implies that holonomic bimodul…

Hochschild cohomology and lifts of endomorphisms

Lifts of endomorphisms of Weyl algebras modulo p2

The graph of a Weyl algebra endomorphism

Lifts of endomorphisms of Weyl algebras modulo $p^{2}$