Basic sets of invariant polynomials for finite reflection groups
From MaRDI portal
Publication:3784324
DOI10.1080/00927878808823619zbMath0642.20041OpenAlexW2076225340MaRDI QIDQ3784324
Publication date: 1988
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927878808823619
Geometric invariant theory (14L24) Vector and tensor algebra, theory of invariants (15A72) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15) Other algebraic groups (geometric aspects) (14L40)
Related Items
Extending tensors on polar manifolds ⋮ Canonical bases of invariant polynomials for the irreducible reflection groups of types \(E_{6}\), \(E_{7}\), and \(E_{8}\) ⋮ Projective normality of Weyl group quotients ⋮ Basic invariants of finite reflection groups ⋮ Generating formulas for finite reflection groups of the infinite series \(S_n\), \(A_n\), \(B_n\) and \(D_n\) ⋮ Invariants of finite and infinite groups generated by reflections ⋮ Classical invariant theory for finite reflection groups ⋮ SIMPLE GROUPS STABILIZING POLYNOMIALS ⋮ Complex reflection groups, logarithmic connections and bi-flat \(F\)-manifolds ⋮ On the complete integrability of the periodic quantum Toda lattice ⋮ A canonical system of basic invariants of a finite reflection group ⋮ Pontryagin classes of locally symmetric manifolds ⋮ Diffusion orthogonal polynomials in 3-dimensional domains bounded by developable surfaces ⋮ Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds ⋮ The symmetric invariants of centralizers and Slodowy grading ⋮ Strong Lefschetz elements of the coinvariant rings of finite Coxeter groups ⋮ On Schubert’s Problem of Characteristics ⋮ Unnamed Item ⋮ THE QUANTUM H4 INTEGRABLE SYSTEM ⋮ An exactly solvable quantum four-body problem associated with the symmetries of an octacube ⋮ Root systems and quotients of deformations of simple singularities ⋮ The strong Lefschetz property of the coinvariant ring of the Coxeter group of type \(H_{4}\) ⋮ A simple construction of basic polynomials invariant under the Weyl group of the simple finite-dimensional complex Lie algebra ⋮ The Reisner-Stanley system and equivariant cohomology for a class of wonderful varieties ⋮ The integral Pontrjagin homology of the based loop space on a flag manifold ⋮ The integral cohomology ring of \(E_{8}/T\) ⋮ On characteristic numbers of 24 dimensional string manifolds ⋮ Polynomial Invariants and Harmonic Functions Related to Exceptional Regular Polytopes ⋮ Flat bases of invariant polynomials and P̂-matrices of E7 and E8 ⋮ The torsion index of \(E_8\) and other groups ⋮ The Images of Restriction Maps and Dirac Cohomology ⋮ Reflection groups, reflection arrangements, and invariant real varieties ⋮ Geometric theory of invariants of groups generated by reflections
Cites Work