# Ueber die Theorie der algebraischen Formen

@article{HilbertUeberDT,
title={Ueber die Theorie der algebraischen Formen},
author={David R. Hilbert},
journal={Mathematische Annalen},
volume={36},
pages={473-534}
}
147 Citations

### REVERSE MATHEMATICS, YOUNG DIAGRAMS, AND THE ASCENDING CHAIN CONDITION

• Mathematics
The Journal of Symbolic Logic
• 2017
The reverse mathematics of this theorem is studied, proving its equivalence over A_0 (or even over $RCA_0^{\rm{*}}$) to the statement that ${omega ^\omega }$ is well ordered.

### Symmetry allowed, but unobservable, phases in renormalizable Gauge Field Theory Models

• Physics
• 2004
In Quantum Field Theory models with spontaneously broken gauge invariance, renormalizability limits to four the degree of the Higgs potential, whose minima determine the vacuum state at tree-level.

### Symmetric polynomials in the variety generated by Grassmann algebras

• Mathematics, Art
Journal of Algebra and Its Applications
• 2021
Let [Formula: see text] denote the variety generated by infinite-dimensional Grassmann algebras, i.e. the collection of all unitary associative algebras satisfying the identity [Formula: see text],

### Toric invariant theory for maximum likelihood estimation in log-linear models

• Mathematics
Algebraic Statistics
• 2021
We establish connections between invariant theory and maximum likelihood estimation for discrete statistical models. We show that norm minimization over a torus orbit is equivalent to maximum

### Maurice Janet’s algorithms on systems of linear partial differential equations

• Mathematics
Archive for History of Exact Sciences
• 2020
This article describes the emergence of formal methods in theory of partial differential equations (PDE) in the French school of mathematics through Janet’s work in the period 1913–1930. In his

### J an 2 01 9 From analytical mechanical problems to rewriting theory through

• Mathematics
• 2018
This note surveys the historical background of the Gröbner basis theory for D-modules and linear rewriting theory. The objective is to present a deep interaction of these two fields largely developed

### From analytical mechanical problems to rewriting theory through M. Janet

• Mathematics
• 2017
This note surveys the historical background of the Gröbner basis theory for D-modules and linear rewriting theory. The objective is to present a deep interaction of these two fields largely developed

### Geometrically Reductive Groups and Finitely Generated Rings of Invariants

We discuss when rings of invariants of algebras over an algebraically closed field are finitely generated. We prove Nagata’s Theorem, which states that geometrically reductive groups have finitely