Skip to main content
SpringerLink
Log in

Fourier transforms with respect to monomial representations

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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. Baddeley, R.W.: Models and involution models for wreath products and certain Weyl groups. J. Lond. Math. Soc., II. Ser.44, 55–75 (1991)

    Google Scholar 

  2. Cannon, J.: A computational toolkit for finite permutation groups. In: Aschbacher, M. et al. (eds.) Proceedings fo the Rutgers Group Theory Year 1983/94, pp. 1–20. Cambridge: Cambridge University Press 1984

    Google Scholar 

  3. Clausen, M.: Fast generalized Fourier transforms. Theor. Comput. Sci.67, 55–63 (1989)

    Google Scholar 

  4. Conway, J.H., Curtis, R.T., Norton S.P., Parker, R.A., Wilson, R.A.: Atlas of finite groups. Oxford: Clarendon Press 1985

    Google Scholar 

  5. Diaconis, P.: Group representations in probability and statistics. Hayward, CA: Institute of Mathematical Statistics 1988

    Google Scholar 

  6. Diaconis, P., Rockmore, D.: Efficient computation of the Fourier transform on finite groups. J. Am. Math. Soc.3, 297–332 (1990)

    Google Scholar 

  7. Diaconis, P., Shahshahani, M.: Time to reach stationarity in the Bernoulli-Laplace diffusion model. SIAM J. Math. Anal.18 (no. 1), (1987)

    Google Scholar 

  8. Gollan, H.W.: On the existence of models in some sporadic simple groups. Arch. Math. (to appear)

  9. Gollan, H.W., Ostermann, T.W.: Operation of class sums on permutation modules. J. Symb. Comput.9, 39–47 (1990)

    Google Scholar 

  10. Inglis, N.F.J., Richardson, R.W., Saxl, J.: An explicit model for the complex representations ofS n. Arch. Math.54, 258–259 (1990)

    Google Scholar 

  11. Inglis, N.F.J., Saxl, J.: An explicit model for the complex representations of the finite general linear groups. Arch. Math.57, 424–431 (1991)

    Google Scholar 

  12. Issacs, I.M.: Character theory of finite groups. New York: Academic Press 1976

    Google Scholar 

  13. James, G., Kerber, A.: The representation theory of the symmetric group. Reading, MA: Addison-Wesley 1981

    Google Scholar 

  14. Klyachko, A.A.: Models for complex representations of the groups GL (n, q) and Weyl groups. Sov. Math., Dokl. III. Ser.24, 496–499 (1981)

    Google Scholar 

  15. Knuth, D.E.: The art of computer programming, vol. 1–3. Reading, MA: Addison-Wesley 1973–1981

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Cambridge University, CB2 1SB, Cambridge, England

    Stephen A. Linton

  2. Institut für Experimentelle Mathematik, Universität GHS Essen, D-45326, Essen 12, Germany

    Gerhard O. Michler

  3. Matematisk Institut, Kobenhavns Universitet, 2100, Kobenhavn, Denmark

    Jørn B. Olsson

Authors
  1. Stephen A. Linton
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gerhard O. Michler
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jørn B. Olsson
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Linton, S.A., Michler, G.O. & Olsson, J.B. Fourier transforms with respect to monomial representations. Math. Ann. 297, 253–268 (1993). https://doi.org/10.1007/BF01459500

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01459500

Mathematics Subject Classification (1991)

Search

Navigation