Rings of generalized and stable invariants of pseudoreflections and pseudoreflection groups

Journal of Algebra

Volumn 182, Issue 1, 1996, Pages 85-122

  Neumann, Frank ^a   Neusel, Mara D ^b   Smith, Larry ^a  

^a Pflanzenphysiologisches Inst der U   (Germany)

^b OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16144366434     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.0163     Document Type: Article

References (19)

1. 1. J. F. Adams and C. W. Wilkerson, Finite H-spaces and algebras over the Steenrod algebra, Ann. of Math. 111 (1980), 95-143.
2. 2. J. L. Alperin, "Local Representation Theory," Cambridge Univ. Press, Cambridge, 1993.
3. 3. C. Chevalley, Invariants of finite groups generated by reflections, Amer. J. Math. 77 (1955), 778-782.
4. 4. M. Demazure, Invariants symétriques entiers des groupes de Weyl et torsion, Invent. Math. 21 (1973), 287-301.
5. 5. W. G. Dwyer and C. W. Wilkerson, Homotopy fixed point methods for Lie groups and finite loop spaces, Ann. of Math. 139 (1994), 395-442.
6. 6. V. G. Kac and D. H. Peterson, Generalized invariants of groups generated by reflections, in "Geometry of Today, Roma 1984," Progress in Mathematics, Vol. 60, Birkhäuser Verlag, Boston, 1985.
7. 7. F. Neumann, M. D. Neusel, and L. Smith, Rings of generalized and stable invariants, II, to appear.
8. 8. F. Neumann, M. D. Neusel, and L. Smith, Rings of generalized and stable invariants, III, to appear.
9. 9. F. Neumann, M. D. Neusel, and L. Smith, Rings of generalized and stable invariants and classifying spaces of compact lie groups, preprint, Göttingen, 1994.
10. 10. G. C. Shephard and J. A. Todd, Finite unitary reflection groups, Canad. J. Math. 6 (1954), 274-304.
11. 11. L. Smith, "Polynomial Invariants of Finite Groups," A. K. Peters Ltd., Wellesley, MA, 1995.
12. 12. L. Smith, On the invariant theory of finite pseudoreflection groups, Arch. Math. 44 (1985), 225-228.
13. 13. L. Smith, A note on the realization of complete intersection algebras by the cohomology of a space, Quart. J. Math. Oxford Ser. (2) 33 (1982), 379-384.
14. 14. L. Smith, ℘*-Invariant ideals in rings of invariants, Forum Math., in press.
15. 15. L. Smith and R. E. Stong, On the invariant theory of finite groups: Orbit polynomials and splitting principles, J. Algebra 110 (1987), 134-157.
16. 16. L. Smith and R. M. Switzer, Polynomial algebras over the Steenrod algebra: Variations on a theorem of Adams and Wilkerson, Proc. Edinburgh Math. Soc. (2) 27 (1984), 11-19.
17. 4, J. Math. Kyoto Univ. 13 (1973), 97-115.
18. 18. W. V. Vasconcelos, Ideals generated by R-sequences, J. Algebra 6 (1967), 309-316.
19. 19. C. . Wilkerson, Rings of invariants and inseparable forms of algebras over the Steenrod algebra, Math. Proc. Cambridge Philos. Soc., in press.