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Arrangements defined by unitary reflection groups

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References

  1. Aigner, M.: Combinatorial theory. Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  4. Bourbaki, N.: Groupes et algèbres de Lie, Chaps. 4–6. Paris: Hermann 1968

    Google Scholar 

  5. Brylawski, T.: A decomposition for combinatorial geometries. Trans. Am. Math. Soc.171, 235–282 (1972)

    Google Scholar 

  6. Burnside, W.: Theory of groups of finite order. Cambridge: Cambridge University Press 1911; repr. New York: Dover 1955

    Google Scholar 

  7. Cohen, A.M.: Finite complex reflection groups. Ann. Sci. École Norm. Sup. 4e sér.9, 379–436 (1976)

    Google Scholar 

  8. Dowling, T.: Aq-analog of the partition lattice. In: A survey of combinatorial theory. Srivastava, ed., pp. 101–115. Amsterdam: North-Holland 1973

    Google Scholar 

  9. Dowling, T.: A class of geometric lattices based on finite groups. J. Comb. Theory (B)14, 61–86 (1973)

    Google Scholar 

  10. Frame, J.S.: The simple group of order 25,920. Duke J. Math.2, 477–484 (1936)

    Google Scholar 

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

    Google Scholar 

  12. Orlik, P., Solomon, L.: Complexes for reflection groups. Proc. Midwest Algebraic Geometry Conf. Lecture Notes in Mathematics, Vol. 862, pp. 193–207. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  13. Orlik, P., Solomon, L.: Coxeter arrangements. Am. Math. Soc. Proc. Symp. Pure Math.40 (forthcoming)

  14. Schur, I.: Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen, J. Reine Angew. Math.139, 155–250 (1911); repr. in Gesammelte Abhandlungen I, pp. 346–441. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  15. Shephard, G.C., Todd, J.A.: Finite unitary reflection groups. Can. J. Math.6, 274–304 (1954)

    Google Scholar 

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

    Google Scholar 

  17. Srinivasan, B.: The characters of the finite symplectic group Sp(4,q). Trans. Am. Math. Soc.131, 488–525 (1968)

    Google Scholar 

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

    Google Scholar 

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Authors and Affiliations

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

    Peter Orlik & Louis Solomon

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  1. Peter Orlik
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  2. Louis Solomon
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This work was supported in part by the National Science Foundation

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Orlik, P., Solomon, L. Arrangements defined by unitary reflection groups. Math. Ann. 261, 339–357 (1982). https://doi.org/10.1007/BF01455455

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