EUDML

Currently displaying 1 – 9 of 9

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Invariant theory of G2 and Spin7.

Gerald W. Schwarz — 1988

Commentarii mathematici Helvetici

Lifting smooth homotopies of orbit spaces

Gerald W. Schwarz — 1980

Publications Mathématiques de l'IHÉS

Representations of Simple Lie Groups with Regular Rings of Invariants.

Gerald W. Schwarz — 1978

Inventiones mathematicae

Representations of Simple Lie Groups with a Free Module of Covariants.

Gerald W. Schwarz

Inventiones mathematicae

On classical invariant theory and binary cubics

Gerald W. Schwarz — 1987

Annales de l'institut Fourier

Let $G$ be a reductive complex algebraic group, and let $C [m V]^{G}$ denote the algebra of invariant polynomial functions on the direct sum of $m$ copies of the representations space $V$ of $G$ . There is a smallest integer $n = n (V)$ such that generators and relations of $C [m V]^{G}$ can be obtained from those of $C [n V]^{G}$ by polarization and restitution for all $m > n$ . We bound and the degrees of generators and relations of $C [n V]^{G}$ , extending results of Vust. We apply our techniques to compute the invariant theory of binary cubics.

Lifting differential operators from orbit spaces

Gerald W. Schwarz — 1995

Annales scientifiques de l'École Normale Supérieure

Linear maps preserving orbits

Gerald W. Schwarz — 2012

Annales de l’institut Fourier

Let $H \subset GL (V)$ be a connected complex reductive group where $V$ is a finite-dimensional complex vector space. Let $v \in V$ and let $G = {g \in GL (V) ∣ g H v = H v}$ . Following Raïs we say that the orbit $H v$ is if the identity component of $G$ is $H$ . If $H$ is semisimple, we say that $H v$ is for $H$ if the identity component of $G$ is an extension of $H$ by a torus. We classify the $H$ -orbits which are not (semi)-characteristic in many cases.