Pacific Journal of Mathematics

The Levi decomposition of a split $(B,\,N)$-pair.

N. B. Tinberg

Article information

Source
Pacific J. Math., Volume 91, Number 1 (1980), 233-238.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102778869

Mathematical Reviews number (MathSciNet)
MR612902

Zentralblatt MATH identifier
0452.20047

Subjects
Primary: 20C20: Modular representations and characters

Citation

Tinberg, N. B. The Levi decomposition of a split $(B,\,N)$-pair. Pacific J. Math. 91 (1980), no. 1, 233--238. https://projecteuclid.org/euclid.pjm/1102778869


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References

  • [1] N. Bourbaki, Groupes et algebres de Lie, Chapters 4,5,6, Herman, Paris, 1968.
  • [2] R. W. Carter, Simple groups of Lie type, John Wiley & Sons, London-New York- Sydney-Toronto: Interscience, 1972.
  • [3] R. W Carter and G. Lusztig, Modular representations of finite groups of Lie type, Proc. London Math. Soc, (3) 32 (1976), 347-384.
  • [4] C. W. Curtis, Modular representations of finite groups with split (B, N) pairs, Lecture Notes in Mathematics No. 131, (B-l)-(B-39). Berlin-Heidelberg-New York: Springer, 1970.
  • [5] C. W. Curtis, Reduction theorems for characters of finite groups of Lie type, J. Math. Soc. Japan, 27, No. 4, (1975).
  • [6] P. Fong and G. Seitz, Groups with a {B,N)-pair of rank 2. /, Inventiones Math., 21 (1973), 1-57.
  • [7] P. Fong and G. Seitz, Groups with a (B, N)-pair of rank 2. //, Inventiones Math., 24 (1974), 191-239.
  • [8] W. M. Kantor and G. Seitz, Some results on 2-transitive groups, Inventiones Math., 13 (1971), 125-142.
  • [9] F. Richen, Modular representations of split (B, N)-pairs, Trans. Amer. Math. Soc, 140 (1969), 435-460.
  • [10] N. Tinberg, Modular representations of finite groups with unsaturated split (B, N)- pairs, Canada. J. Math., XXXII, No. 3 (1980), 714-733.