3.1. Introduction......................................... 3.2. Connection Between Integral and Rational
Invariants...... 3.3. Basic Invariants...................................... 3.4. Hilbert's Theorem on …

Let G be an algebraic group defined over an algebraicly closed field k.(See [1].) If k=(C, then
G is naturally a Lie group. A linear algebraic monoid is an affine, algebraic variety Μ with …

This is a survey on the ancient question: Let G be a reductive group over an algebraically
closed field k and let V be a vector space over k with an almost free linear action of G on V …

We give a classification of irreducible affine algebraic varieties which are
quasihomogeneous with respect to a regular action by a connected linear group of …

In the theory of compact transformation groups, an important class of actions have been
those which locally look like the"'simplest" representations of the classical groups. These …

In this paper, we study sample size thresholds for maximum likelihood estimation for tensor
normal models. Given the model parameters and the number of samples, we determine …

Actions and Invariants of Algebraic Groups presents a self-contained introduction to
geometric invariant theory that links the basic theory of affine algebraic groups to Mumford's …

An Einstein nilradical is a nilpotent Lie algebra which can be the nilradical of a metric
Einstein solvable Lie algebra. The classification of Riemannian Einstein solvmanifolds …

Let X be an affine complex algebraic variety, and let T>(X) denote the (non-commutative)
algebra of algebraic differential operators on X. Then T>(X) has a filtration {^(X)} by order of …

The history of invariant theory spans nearly a century and a half, with roots in certain
problems from number theory, algebra, and geometry appearing in the work of Gauss …