Skip to main content
SpringerLink
Log in

Unitary reflection groups and cohomology

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Benard, M.: Characters and Schur indices of the unitary reflection group [321]3. Pacific J. Math.58, 309–321 (1975)

    Google Scholar 

  2. Benard, M.: Schur indices and splitting fields of the unitary reflection groups. J. Algebra38, 318–342 (1976)

    Google Scholar 

  3. Bourbaki, N.: Groupes et algèbres de Lie, Chapitres 4, 5 et 6. Paris: Hermann 1968

    Google Scholar 

  4. Brieskorn, E.: Sur les groupes de tresses (d'après V.I. Arnol'd), Séminaire Bourbaki 24e année, 1971/2, Springer Lecture Notes No. 317, Berlin: Springer Verlag 1973

    Google Scholar 

  5. Chevalley, C.: Invariants of finite groups generated by relfections. Amer. J. Math.77, 778–782 (1955)

    Google Scholar 

  6. Coleman, A.J.: The Betti numbers of the simple Lie groups, Canadian J. Math.10, 349–356 (1958)

    Google Scholar 

  7. Coxeter, H.S.M.: The product of the generators of a finite group generated by reflections. Duke Math. J.18, 765–782 (1951)

    Google Scholar 

  8. Coxeter, H.S.M.: Regular Complex Polytopes. Cambridge: Cambridge Univ. Press, 1974

    Google Scholar 

  9. Flatto, L.: Invariants of finite reflection groups. L'Enseignement math.24, 237–292 (1978)

    Google Scholar 

  10. Gutkin, E.A.: Matrices connected with groups generated by mappings. Funct. Anal. and Appl. 7, 153–154 (1973) = Funkt. Anal. i Prilozen.7, 81–82 (1973)

    Google Scholar 

  11. Koster, D.W.: Complex Reflection Groups. Thesis, Madison: University of Wisconsin 1975

    Google Scholar 

  12. Orlik, P., Solomon, L.: Combinatorics and topology of complements of hyperplanes. Invent. math.56, 167–189 (1980)

    Google Scholar 

  13. Parthasarathy, K.R., Ranga Rao, R., Varadarajan, V.S.: Representations of complex semi-simple Lie groups and Lie algebras. Annals of Math.85, 383–429 (1967)

    Google Scholar 

  14. Shephard, G.C., Todd, J.A.: Finite unitary relfection groups. Canadian J. Math.6, 274–304 (1954)

    Google Scholar 

  15. Solomon, L.: Invariants of finite reflection groups. Nagoya Math. J.22, 57–64 (1963)

    Google Scholar 

  16. Solomon, L.: Invariants of Euclidean reflection groups. Trans. Amer. Math. Soc.113, 274–286 (1964)

    Google Scholar 

  17. Springer, T.A.: Regular elements of finite reflection groups. Invent. math.25, 159–198 (1974)

    Google Scholar 

  18. Stanley, R.P.: Relative invariants of finite groups generated by pseudoreflections. J. Algebra49, 134–148 (1977)

    Google Scholar 

  19. Steinberg, R.: Finite reflection groups. Trans. Amer. Math. Soc.91, 493–504 (1959)

    Google Scholar 

  20. Steinberg, R.: Differential equations invariant under finite reflection groups. Trans. Amer. Math. Soc.112, 392–400 (1964)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Department, University of Wisconsin, 53706, Madison, WI, USA

    Peter Orlik & Louis Solomon

Authors
  1. Peter Orlik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Louis Solomon
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

To H.S.M. Coxeter

This work was supported in part by the National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Orlik, P., Solomon, L. Unitary reflection groups and cohomology. Invent Math 59, 77–94 (1980). https://doi.org/10.1007/BF01390316

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01390316

Keywords

Search

Navigation