Inequalities defining orbit spaces.
Defining orbit spaces by inequalities
Invariant differential operators on symplectic Grassmann manifolds.
Invariant theory of G2 and Spin7.
Lifting smooth homotopies of orbit spaces
Representations of Simple Lie Groups with Regular Rings of Invariants.
Representations of Simple Lie Groups with a Free Module of Covariants.
On classical invariant theory and binary cubics
Let be a reductive complex algebraic group, and let denote the algebra of invariant polynomial functions on the direct sum of copies of the representations space of . There is a smallest integer such that generators and relations of can be obtained from those of by polarization and restitution for all . We bound and the degrees of generators and relations of , extending results of Vust. We apply our techniques to compute the invariant theory of binary cubics.
Lifting differential operators from orbit spaces
Linear maps preserving orbits
Let be a connected complex reductive group where is a finite-dimensional complex vector space. Let and let . Following Raïs we say that the orbit is if the identity component of is . If is semisimple, we say that is for if the identity component of is an extension of by a torus. We classify the -orbits which are not (semi)-characteristic in many cases.
Reductive group actions with one-dimensional quotient
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