From the 1 of 6 linked papers with an AI index.
6 papers
Irreducible non-holonomic modules for rational Cherednik algebras
Felipe Albino dos Santos, João Schwarz
The authors construct explicit irreducible non‑holonomic modules of Gelfand‑Kirillov dimension 2n‑1 for invariant differential operators of Weyl algebras under complex reflection g…
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…
Galois Rings, Coulomb branches and the Gelfand-Kirillov Conjecture
Vyacheslav Futorny, Jonas T. Hartwig, Erich C. Jauch +1
Galois rings and orders, introduced by Futorny and Ovsienko, are embedded into fixed subrings of skew group (or monoid) rings and have many interesting applications to the structur…
Harish-Chandra modules and Galois orders revisited
João Schwarz
The main subject of study of this paper are general properties of HarishChandra algebras and modules with respect wito a pair of algebra and subalgebra, with special focus on the t…
A note on the definition of derived functors
João Schwarz
The purpose of this note is to consider in detail the construction of derived functors. The classical construction, such as in Cartan-Eilenberg or Grothendieck, is clarified, and i…
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}_{…