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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.

Displaying 1 – 11 of 11

On classical invariant theory and binary cubics

On conjugating representations and adjoint representations of semisimple groups.

On invariants of a set of matrices.

On Projections in the Symmetric Power Space.

On projective equivalence of univariate polynomial subspaces.

On relations of invariants for vector-valued forms.

On the geometry of conjugacy classes in classical groupes.

On the Nonflatness of Analytic Tensor Product.

On the special trace decomposition problem on quaternion structure.

On the subspace $L ({(x \land y)}^{m})$ of $S^{m} (Λ^{2} ℝ^{4})$ .

On the symmetry classes of the first covariant derivatives of tensor fields.

Currently displaying 1 – 11 of 11