15 citations · 183 across the 38 of their papers we have counts for
38 papers
Euler characteristics of linear symplectic quotients and -spaces
Carla Farsi, Hannah Mobley, Christopher Seaton
We give explicit computations of the -Euler characteristic of several families of orbit space definable translation groupoids. These include the translation groupoids associated…
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…
The universal Euler characteristic and Burnside group for definable groupoids
Carla Farsi, Emily Proctor, Christopher Seaton
We introduce the universal Euler characteristic of orbit space definable groupoids, a class of groupoids containing cocompact proper Lie groupoids as well as translation groupoids…
Isomorphisms of Symplectic Torus Quotients
Hans-Christian Herbig, Gerald W. Schwarz, Christopher Seaton
We call a reductive complex group quasi-toral if is a torus. Let be quasi-toral and let be a faithful -modular -module. Let (the shell) be the zero fibe…
Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank Lie groups
Austin Barringer, Hans-Christian Herbig, Daniel Herden +3
We compute univariate and multigraded Hilbert series of invariants and covariants of representations of the circle and orthogonal group . The multigradings cons…