3 citations · 3 across the 8 of their papers we have counts for
8 papers
On digital H-spaces
Wayne A. Johnson, Dae-Woong Lee, P. Christopher Staecker
In this article, we investigate properties of digital H-spaces in the graph theoretic model of digital topology. As in prior work, the results obtained often depend fundamentally o…
An explicit formula for the Hilbert series of a partial flag variety
Wayne A. Johnson
For a semisimple, simply-connected linear algebraic group, , and parabolic subgroup, , we use the fact that the Hilbert polynomial of the equivariant embedding of…
An Euler operator approach to Ehrhart series
Wayne A. Johnson
We use the ordinary Euler operator to compute the Ehrhart series for an arbitrary lattice polytope. The resulting formula involves the coefficients of the Ehrhart polynomial, combi…
Exponential Hilbert series and hierarchical log-linear models
Wayne A. Johnson
Consider a hierarchical log-linear model, given by a simplicial complex, , and integer matrix . We give a new characterization of the rank of given by a logarithmic t…
The -vector of a simplicial complex
Wayne A. Johnson, Wiktor J. Mogilski
We study the exponential Hilbert series (both coarsely- and finely-graded) of the Stanley-Reisner ring of an abstract simplicial complex, , and we introduce the -vector of $Δ…
Exponential Hilbert series of equivariant embeddings
Wayne A. Johnson
In this article, we study properties of the exponential Hilbert series of a -equivariant projective variety, where is a semisimple, simply-connected complex linear algebraic…
An orbit model for the spectra of nilpotent Gelfand pairs
Holley Friedlander, William Grodzicki, Wayne Johnson +4
Let be a connected and simply connected nilpotent Lie group, and let be a subgroup of the automorphism group of . We say that the pair is a nilpotent Gelfand pai…
A multi-variate generating function for the Weyl Dimension Formula
Wayne Johnson
We present a closed form for a multi-variate generating function for the dimensions of the irreducible representations of a semisimple, simply connected linear algebraic group over…