6 papers
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…
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…
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…
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…
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…