Basic invariants of finite reflection groups

DOI10.1006/jabr.1997.7066zbMath0890.20031OpenAlexW2061403923MaRDI QIDQ1372664

Katsunori Iwasaki

Publication date: 23 April 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7066

zbMATH Keywords

Weyl groupsfinite reflection groupsalgebras of invariantscanonical basesbasic invariants

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Actions of groups on commutative rings; invariant theory (13A50) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items

CANONICAL SYSTEM OF BASIC INVARIANTS FOR UNITARY GROUP W(K5) ⋮ Canonical bases of invariant polynomials for the irreducible reflection groups of types \(E_{6}\), \(E_{7}\), and \(E_{8}\) ⋮ Generating formulas for finite reflection groups of the infinite series \(S_n\), \(A_n\), \(B_n\) and \(D_n\) ⋮ Regular simplices, symmetric polynomials and the mean value property ⋮ A canonical system of basic invariants of a finite reflection group ⋮ Polynomial Invariants and Harmonic Functions Related to Exceptional Regular Polytopes ⋮ Test sets for nonnegativity of polynomials invariant under a finite reflection group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections
• Invariants of finite reflection groups
• The product of the generators of a finite group generated by reflections
• Finite Reflection Groups
• Invariants of Finite Reflection Groups
• Basic sets of invariant polynomials for finite reflection groups
• On a certain generator system of the ring of invariants of a finite reflection group
• Invariants of Euclidean Reflection Groups
• Basic sets of invariants for finite reflection groups
• Invariants of Finite Reflection Groups and Mean Value Problems
• Differential Equations Invariant Under Finite Reflection Groups
• Invariants of Finite Reflection Groups and Mean Value Problems II
• Invariants of Finite Reflection Groups
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections