Canonical bases of invariant polynomials for the irreducible reflection groups of types \(E_{6}\), \(E_{7}\), and \(E_{8}\)

DOI10.1016/j.jalgebra.2018.01.017zbMath1436.20075arXiv1808.01966OpenAlexW2790008547MaRDI QIDQ1643119

Vittorino Talamini

Publication date: 18 June 2018

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

Full work available at URL: https://arxiv.org/abs/1808.01966

zbMATH Keywords

finite reflection groupsharmonic functionsbasic invariantsbasic invariant polynomials

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Actions of groups on commutative rings; invariant theory (13A50)

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Cites Work

• A canonical system of basic invariants of a finite reflection group
• Universality in orbit spaces of compact linear groups
• Basic invariants of finite reflection groups
• The product of the generators of a finite group generated by reflections
• Canonical Systems of Basic Invariants for Unitary Reflection Groups
• ON INVARIANTS OF FINITE GROUPS GENERATED BY REFLECTIONS
• Basic sets of invariant polynomials for finite reflection groups
• On a certain generator system of the ring of invariants of a finite reflection group
• Flat bases of invariant polynomials and P̂-matrices of E7 and E8
• Basic sets of invariants for finite reflection groups
• Invariants of Finite Reflection Groups and Mean Value Problems
• Invariants of Finite Reflection Groups and Mean Value Problems II
• Invariants of Finite Groups Generated by Reflections