74 citations · 205 across the 31 of their papers we have counts for
33 papers
The partial derivative of ratios of Schur polynomials and applications to symplectic quotients
Hans-Christian Herbig, Daniel Herden, Harper Kolehmainen +1
We show that a ratio of Schur polynomials associated to partitions and such that has a negative partial derivative at any point where all variables…
Factorization of spread polynomials
Johann Cigler, Hans-Christian Herbig
We present a proof of a conjecture of Goh and Wildberger on the factorization of the spread polynomials. We indicate how the factors can be effectively calculated and exhibit a con…
An exploration of connections and curvature in the presence of singularities
Hans-Christian Herbig, William Osnayder Clavijo Esquivel
We develop the notions of connections and curvature for general Lie-Rinehart algebras without using smoothness assumptions on the base space. We present situations when a connectio…
Hilbert measures on orbit spaces of coregular -modules
Hans-Christian Herbig, Christopher W. Seaton, Lillian Whitesell
We construct canonical measures, referred to as Hilbert measures, on orbit spaces of classical coregular representations of the orthogonal groups . We observe t…
The symplectic form associated to a singular Poisson algebra
Hans-Christian Herbig, William Osnayder Clavijo Esquivel, Christopher Seaton
Given an affine Poisson algebra, that is singular one may ask whether there is an associated symplectic form. In the smooth case the answer is obvious: for the symplectic form to e…
A symmetric function approach to polynomial regression
Hans-Christian Herbig, Daniel Herden, Christopher Seaton
We give an explicit solution formula for the polynomial regression problem in terms of Schur polynomials and Vandermonde determinants. We thereby generalize the work of Chang, Deng…