698 citations · 920 across the 34 of their papers we have counts for
36 papers
Gravity and Matter from Soldered Chiral Superconnections
P. D. Alvarez, J. T. Hartwig, A. Sharma
We present a reformulation of four-dimensional chiral gravity in terms of a chiral gauge connection and a Clifford-valued coframe. The exterior algebra generated by , toge…
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…
Galois Rings: Ring-Theoretic Properties and Applications to Coulomb Branches and Affine Hecke Algebras
Vyacheslav Futorny, Jonas T. Hartwig, Erich C. Jauch +1
Galois rings and Galois orders, introduced by Futorny and Ovsienko, are realized as subrings of fixed subrings of skew group (or monoid) rings and have numerous applications in the…
Hilbert-Samuel Polynomials for Algebras with Special Filtrations
Jonas T. Hartwig, Erich C. Jauch, João Schwarz
The notion of multiplicity of a module first arose as consequence of Hilbert's work on commutative algebra, relating the dimension of rings with the degree of certain polynomials.…
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…
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…