gelfand-kirillov dimension 1invariant differential operators 1non-holonomic modules 1rational cherednik algebras 1weyl algebra 1
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math.RT2026
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…
math.RT2026
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…
math.RT2025
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…