81 citations · 89 across the 15 of their papers we have counts for
18 papers
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…
Lifts of endomorphisms of Weyl algebras modulo
Niels Lauritzen, Jesper Funch Thomsen
Let denote a -algebra endomorphism of the -th Weyl algebra over a perfect field of positive characteristic . We prove that can be lifted to an endomor…
Finitely generated bimodules over Weyl algebras
Niels Lauritzen, Jesper Funch Thomsen
Let be the -th Weyl algebra over a field of characteristic zero, and an endomorphism with . We prove that if is finitely generated as a left…
Two properties of endomorphisms of Weyl algebras
Niels Lauritzen, Jesper Funch Thomsen
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.…
A proof of Wahl's conjecture in the symplectic case
Jesper Funch Thomsen
Let denote a flag variety of type or type . We construct a canonical Frobenius splitting of which vanishes with maximal multiplicty along the diagonal. This…
On frobenius splitting of orbit closures of spherical subgroups in flag varieties
Xuhua He, Jesper Funch Thomsen
Let be a connected spherical subgroup of a semisimple algebraic group . In this paper, we give a criterion for -orbit closures in the flag variety of to have nice geo…