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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…
math.RT2024
Galois order realization of noncommutative type Kleinian singularities
Jonas T. Hartwig
Galois orders, introduced by Futorny and Ovsienko, is a class of noncommutative algebras that includes generalized Weyl algebras, the enveloping algebra of the general linear Lie a…