5 citations · 10 across the 8 of their papers we have counts for
9 papers
Dirac reduction algebra
Matthew Dorang, Jonas T. Hartwig, Dwight Anderson Williams
There is a homomorphism of associative superalgebras from the enveloping algebra of the orthosymplectic Lie superalgebra to the Weyl-Clifford superalgebra $W(…
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…
Action of on polynomials tensor
Dwight Anderson Williams
For each positive integer , the basic classical complex Lie superalgebra has a unique equivalence class of infinite-dimensional completely-pointed modules…
The Defective Parking Space and Defective Kreweras Numbers
Rebecca E. Garcia, Pamela E. Harris, Alex Moon +5
A defective -parking function with defect is a parking function with cars attempting to park on a street with parking spots in which exactly cars fail to par…
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…
Interval and -interval Rational Parking Functions
Tomás Aguilar-Fraga, Jennifer Elder, Rebecca E. Garcia +12
Interval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions…
On Parking Functions and The Tower of Hanoi
Yasmin Aguillon, Dylan Alvarenga, Pamela E. Harris +6
The displacement of a parking function measures the total difference between where cars want to park and where they ultimately park. In this article, we prove that the set of parki…
Ghost center and representations of the diagonal reduction algebra of
Jonas T. Hartwig, Dwight Anderson Williams
Reduction algebras are known by many names in the literature, including step algebras, Mickelsson algebras, Zhelobenko algebras, and transvector algebras, to name a few. These alge…
Diagonal reduction algebra for
Jonas T. Hartwig, Dwight Anderson Williams
The problem of providing complete presentations of reduction algebras associated to a pair of Lie algebras has previously been considered by Khoroshki…