Mehta, M. L. Basic sets of invariant polynomials for finite reflection groups. (English) Zbl 0642.20041 Commun. Algebra 16, No. 5, 1083-1098 (1988). The author calculates in an explicit form bases of invariant rings of indecomposable real finite reflection groups. Note that a similar problem is considered earlier by V. F. Ignatenko [J. Sov. Math. 33, 933-953 (1986); translation from Itogi Nauki Tekh., Ser. Probl. Geom. 16, 195-229 (1984; Zbl 0592.51008)] but the author’s treatment is shorter. Reviewer: A.Zalesskij Cited in 33 Documents MSC: 20H15 Other geometric groups, including crystallographic groups 15A72 Vector and tensor algebra, theory of invariants 51F15 Reflection groups, reflection geometries 14L24 Geometric invariant theory 14L40 Other algebraic groups (geometric aspects) Keywords:bases of invariant rings; indecomposable real finite reflection groups Citations:Zbl 0592.51008 PDFBibTeX XMLCite \textit{M. L. Mehta}, Commun. Algebra 16, No. 5, 1083--1098 (1988; Zbl 0642.20041) Full Text: DOI References: [1] DOI: 10.2307/2372597 · Zbl 0065.26103 [2] Coxeter H.S.M., Lecture notes The Structure and representation of continuous qroups by H. Weyl (1955) [3] Hiller H., Research Notes in Mathematics 54 (1982) [4] Bourbaki N., Groupes et Algèbres de Lie TV (1975) [5] DOI: 10.2307/1968753 · Zbl 0010.01101 [6] DOI: 10.1215/S0012-7094-51-01870-4 · Zbl 0044.25603 [7] DOI: 10.1090/S0002-9904-1968-12017-8 · Zbl 0169.04502 [8] DOI: 10.1051/jphys:019840045010100 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.