Skip to main content
SpringerLink
Log in

Complexes for reflection groups

  • Conference paper
  • First Online:
Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 862))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Google Scholar 

  2. Coxeter, H. S. M.: Regular complex polytopes, Cambridge Univ. Press, 1974.

    Google Scholar 

  3. Coxeter, H. S. M.: Finite groups generated by unitary reflections, Abhandlungen Math. Sem. Univ. Hamburg, 31(1967), 125–135.

    Article  MathSciNet  MATH  Google Scholar 

  4. Coxeter, H. S. M.: Groups whose fundamental regions are simplexes, J. London Math. Soc. 6(1931), 132–136.

    Article  MathSciNet  MATH  Google Scholar 

  5. Garst, P. F.: Cohen-Macaulay complexes and group actions, Thesis, Univ. of Wisconsin, Madison, 1979.

    Google Scholar 

  6. Hirzebruch, F. and Mayer, K. H.: Differenzierbare O(n)-Mannigfaltigkeiten, exotische Sphären, und Singularitäten, Lecture Notes 57, Springer Verlag, Berlin 1968.

    Book  MATH  Google Scholar 

  7. Koster, D. W.: Complex Reflection Groups, Thesis, Univ. of Wisconsin, Madison, 1975.

    Google Scholar 

  8. Maschke, H.: Aufstellung des vollen Formensystems einer quaternären Gruppe von 51840 linearen substitutionen, Math. Annalen, 33(1889), 317–344.

    Article  MathSciNet  MATH  Google Scholar 

  9. Milnor, J.: Singular points of complex hypersurfaces, Ann. of Math. Studies 61, Princeton U. Press, 1968.

    Google Scholar 

  10. Orlik, P. and Solomon, L.: Singularities II; Automorphisms of forms, Math. Annalen 231(1978), 229–240.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  12. Orlik, P. and Solomon, L.: Unitary reflection groups and cohomology, Invent. math. 59(1980), 77–94.

    Article  MathSciNet  MATH  Google Scholar 

  13. Pham, F.: Formules de Picard-Lefschetz généralisées et ramification des intégrales, Bull. Soc. Math. France 93(1965), 333–367.

    MathSciNet  MATH  Google Scholar 

  14. Seifert, H. and Threlfall, W.: A textbook of topology, Academic Press, 1980.

    Google Scholar 

  15. Solomon, L.: The orders of the finite Chevalley groups, J. Algebra 3(1966), 376–393.

    Article  MathSciNet  MATH  Google Scholar 

  16. Solomon, L.: A decomposition of the group algebra of a finite Coxeter group, J. Algebra 9(1968), 220–239.

    Article  MathSciNet  MATH  Google Scholar 

  17. Terao, H.: Generalized exponents of a free arrangement of hyperplanes and Shephard-Todd formula. (preprint).

    Google Scholar 

  18. Tits, J.: Buildings of Spherical Type and Finite BN-Pairs, Lecture Notes 386, Springer Verlag, Berlin, 1974.

    MATH  Google Scholar 

  19. Witt, E.: Spiegelungsgruppen und Aufzählung halbeinfacher Liescher Ringe, Hamburg Abh. 14(1941), 289–322.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Wisconsin, Madison

    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

Editor information

Anatoly Libgober Philip Wagreich

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Orlik, P., Solomon, L. (1981). Complexes for reflection groups. In: Libgober, A., Wagreich, P. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 862. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090892

Download citation

  • DOI: https://doi.org/10.1007/BFb0090892

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10833-7

  • Online ISBN: 978-3-540-38720-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation