2 citations · 3 across the 14 of their papers we have counts for
5 papers · 1 filter
On rational twisted generalized Weyl algebra
Natalia Golovashchuk, João Schwarz
The aim of this work is to investigate the structure of some skew twisted algebras, when the coefficient ring is a localization of the polynomial ring over the field of characteris…
Holonomic modules for rings of invariant differential operators
Vyacheslav Futorny, João Schwarz
We study holonomic modules for the rings of invariant differential operators on affine commutative domains with finite Krull dimension with respect to arbitrary actions of finite g…
Gelfand-Kirillov conjecture as a first-order formula
Hugo Luiz Mariano, João Schwarz
Let be a (reduced) root system. Let be an algebraically closed field of zero characteristic, and consider the corresponding semisimple Lie algebra $\mathfrak{g}_{\…
LD-stability for Goldie rings
Vyacheslav Futorny, João Schwarz, Ivan Shestakov
The lower transcendence degree, introduced by J. J Zhang, is an important non-commutative invariant in ring theory and non-commutative geometry strongly connected to the classical…
A Poisson Analogue of Noether's Problem
João Schwarz
In this paper we show that the Poisson analogue of the Noether's Problem has a positive solution for essentially all finite symplectic reflection groups - the analogue of complex r…