Skip to main content
SpringerLink
Log in

Semilinear automorphisms and dimension functions for certain characters of finite Chevalley groups

  • Published:
Mathematische Zeitschrift 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. Bourbaki, N.: Groupes et algèbres de Lie, Chap. 4, 5, 6, Paris: Hermann 1968

    Google Scholar 

  2. Chevalley, C.: Sur certains groupes simples, Tôhoku math. J., II. Ser.7, 14–66 (1955)

    Google Scholar 

  3. Curtis, C. W., Fossum, T. V.: On centralizer rings and characters of representations of finite groups, Math. Z.,107, 402–406 (1968).

    Google Scholar 

  4. Curtis, C.W., Iwahori, N., Kilmoyer, R.: Hecke algebras and characters of parabolic type of finite groups with (B, N) pairs, Inst. haut. Étud. sci., Publ. math.40, 81–116 (1972)

    Google Scholar 

  5. Green, J.A.: On the Steinberg characters of finite Chevalley groups, Math. Z.,117, 272–288 (1970)

    Google Scholar 

  6. Hoefsmit, P.: Representations of Hecke algebras of finite groups with BN-pairs of classical type, Ph. D. dissertation, Univ. of British Columbia, Vancouver, B.C. 1974

    Google Scholar 

  7. Kilmoyer, R.: Some irreducible complex representations of a finite group with a (B, N) pair, Ph. D. dissertation, M.I.T., Cambridge, Mass. 1969

    Google Scholar 

  8. Kondo, T.: The characters of the Weyl group of typeF 4, J. Fac. Sci., Univ. Tokyo, Sect. I,11, 145–153 (1965)

    Google Scholar 

  9. Steinberg, R.: Lectures on Chevalley groups, Lecture Notes, New Haven, Yale University 1967

    Google Scholar 

  10. Yokonuma, T.: Sur la structure des anneaux de Hecke d'un groupe de Chevalley fini, C. r. Acad. Sci., Paris, Sér. A-B264, 344–347 (1967)

    Google Scholar 

  11. Yokonuma, T.: Sur le commutant d'une représentation d'un groupe de Chevalley fini II, J. Fac. Sci., Univ. Tokyo, Sect. I,16, 65–81 (1969)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The University of Arizona, 85721, Tucson, Arizona, USA

    Clark T. Benson, Larry C. Grove & David B. Surowski

Authors
  1. Clark T. Benson
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Larry C. Grove
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. David B. Surowski
    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

Benson, C.T., Grove, L.C. & Surowski, D.B. Semilinear automorphisms and dimension functions for certain characters of finite Chevalley groups. Math Z 144, 149–159 (1975). https://doi.org/10.1007/BF01190944

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01190944

Keywords

Search

Navigation