Abstract
In this paper we shall determine the multiplicities of simple modules in characteristic 2 in the Sp(4, q)-permutation module on projective 3-space P(3, q), q = 2n.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Alperin J.L.: Projective modules for SL(2, 2n). J. Pure Appl. Algebra 15, 219–234 (1979)
Chastkofsky L., Feit W.: On the projective characters in characteristic 2 of the groups Suz (2m) and Sp4(2n)’. Inst. Hautes Etudes Sci. Publ. Math. 51, 9–36 (1980)
Carter R.W.: Finite groups of Lie types, Conjugacy classes and complex characters. Wiley, Chichester (1985)
C. W. Curtis and I. Reiner, Methods of Representation Theory, Vol I, Wiley-Interscience Pub. New York (1981)
Enomoto H.: The characters of the finite symplectic group Sp(4, q), q = 2f’. Osaka J. Math. 9, 75–94 (1972)
J. E. Humphreys, Ordinary and Modular Representations of Chevalley Groups Springer Lecture Notes in Mathematics 528 (1976).
S. Lang, Algebra, 3rd ed., Addison-Wesley, 1999.
S. E. Payne and J. A. Thas, Finite generalized quadrangles, Advance Publishing Program, Pitman, Boston 1984
Sastry N.S.N., Sin P.: The code of regular generalized quadrangle of even order. Proc. Symp. Pure Math. 63, 485–496 (1998)
Steinberg R.: Representations of Algebraic groups. Nagoya J. Math. 22, 33–56 (1963)
R. Steinberg, Lectures on Chevalley Groups, Mimeographed Notes, Yale Univ. Math. dept., New Haven, Conn., 1968
Author information
Authors and Affiliations
Corresponding author
Additional information
The work of the first author was partially supported by the DST grant No. SR/54/MS:583/07.
Rights and permissions
About this article
Cite this article
Narasimha Sastry, N.S., Shukla, R.P. Multiplicities of simple modules in the Sp(4, q)-permutation module on P(3, q), q even. Arch. Math. 97, 237–245 (2011). https://doi.org/10.1007/s00013-011-0292-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00013-011-0292-8