Invariants of Euclidean reflection groups
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- by Louis Solomon PDF
- Trans. Amer. Math. Soc. 113 (1964), 274-286 Request permission
References
-
W. Burnside, The determination of all groups of rational linear substitutions of finite order which contain the symmetric group in the variables, Proc. London Math. Soc. (2) 10 (1912), 284-308.
- Claude Chevalley, Invariants of finite groups generated by reflections, Amer. J. Math. 77 (1955), 778–782. MR 72877, DOI 10.2307/2372597
- A. J. Coleman, The Betti numbers of the simple Lie groups, Canadian J. Math. 10 (1958), 349–356. MR 106256, DOI 10.4153/CJM-1958-034-2
- H. S. M. Coxeter, The product of the generators of a finite group generated by reflections, Duke Math. J. 18 (1951), 765–782. MR 45109
- J. S. Frame, The classes and representations of the groups of $27$ lines and $28$ bitangents, Ann. Mat. Pura Appl. (4) 32 (1951), 83–119. MR 47038, DOI 10.1007/BF02417955 G. Frobenius, Über die Charaktere der symmetrischen Gruppe, S.-B. Preuss. Akad. Wiss. Berlin (1900), 516-534.
- Bertram Kostant, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group, Amer. J. Math. 81 (1959), 973–1032. MR 114875, DOI 10.2307/2372999
- G. C. Shephard and J. A. Todd, Finite unitary reflection groups, Canad. J. Math. 6 (1954), 274–304. MR 59914, DOI 10.4153/cjm-1954-028-3
- Louis Solomon, Invariants of finite reflection groups, Nagoya Math. J. 22 (1963), 57–64. MR 154929
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 113 (1964), 274-286
- MSC: Primary 22.90; Secondary 20.60
- DOI: https://doi.org/10.1090/S0002-9947-1964-0165038-3
- MathSciNet review: 0165038