3 papers
math.RA2025
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…
math.RT2025
Exact Solutions to the Klein--Gordon Equation via Reduction Algebras
Jonas T. Hartwig, Lillian Ryan Uhl, Dwight Anderson Williams
Reduction algebras (also known as generalized Mickelsson algebras, Zhelobenko algebras, or transvector algebras) are well-studied associative algebras appearing in the representati…
math.RT2025
Symplectic Differential Reduction Algebras and Generalized Weyl Algebras
Jonas T. Hartwig, Dwight Anderson Williams
Given a map of associative algebras, with the universal enveloping algebra of a (complex) finite-dimensional reductive Lie…