C. Seaton

activity

20032024

most citedThe Hilbert series of a linear symplectic circle quotient

15 citations · 183 across the 38 of their papers we have counts for

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4 papers · 1 filter

math.RA2024

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…

math.RA2022

Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank $1$ 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 $O_{2}$ . The multigradings cons…

math.RA2017★ 4 cited

The Hilbert series of $SL_{2}$ -invariants

Pedro de Carvalho Cayres Pinto, Hans-Christian Herbig, Daniel Herden +1

Let $V$ be a finite dimensional representations of the group $SL_{2}$ of $2 \times 2$ matrices with complex coefficients and determinant one. Let $R=\mathbb{C}[V]^{\ope…

math.RA2017★ 7 cited

The Hilbert series and $a$ -invariant of circle invariants

L. Emily Cowie, Hans-Christian Herbig, Daniel Herden +1

Let $V$ be a finite-dimensional representation of the complex circle $C^{\times}$ determined by a weight vector $a \in Z^{n}$ . We study the Hilbert series $\op…

A symmetric function approach to polynomial regression

Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank 1 Lie groups

The Hilbert series of SL2​-invariants

The Hilbert series and a-invariant of circle invariants

Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank $1$ Lie groups

The Hilbert series of $SL_{2}$ -invariants

The Hilbert series and $a$ -invariant of circle invariants