2 citations · 3 across the 14 of their papers we have counts for
5 papers · 1 filter
Growth functions of algebras and an application to Leavitt path algebras
João Schwarz, Alfilgen Sebandal
In this paper, we consider three growth functions of algebras: the Gelfand-Kirillov dimension, superdimension, and entropy -- as well as a variation of the latter successfully used…
On Locally Finite Derivations in Ore Extensions
R. Baltazar, A. Bianchi, M. Veloso +1
Let be an algebraically closed field of characteristic zero. We classify the locally finite derivations of arbitrary Ore extensions of , thus extending van den Es…
Irreducible non-holonomic modules for rational Cherednik algebras
Felipe Albino dos Santos, João Schwarz
Let be an algebraically closed field of characteristic zero and let be the -th Weyl algebra. We prove that for every complex reflection group …
Graded identities of the first Weyl algebra and its generalizations
V. Futorny, P. Koshlukov, J. Schwarz
We study the graded polynomial identities of the first Weyl algebra over an infinite field. The algebra satisfies no ordinary polynomial identities in characteristic 0.…
Characteristic free Galois rings and generalized Weyl algebras
Joao Schwarz
This paper develops from scratch a theory of Galois rings and orders over arbitrary fields. Our approach is different from others in the literature in that there is no non-modulari…