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math.RT2020
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…
math.RT2020
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…
math.RT2018
Quantum Linear Galois Algebras
V. Futorny, J. Schwarz
We define a class of quantum linear Galois algebras which include the universal enveloping algebra Uq(gln), the quantum Heisenberg Lie algebra and other quantum orthogonal Gelfand-…