33
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Globally irreducible representations of the finite symplectic group Sp4(q)

Pages 6439-6457 | Received 01 Feb 1994, Published online: 27 Jun 2007

References

  • Elkies , N. 1989 . Letters to N. J. A. Sloane
  • Enomoto , H. 1972 . The characters of the finite symplectic group Sp(4,q), q = 2f . Osaka J. Math. , 9 : 75 – 94 .
  • Gow , R. 1989 . Even unimodular lattices associated with the Weil rep¬resentation of the finite symplectic group . J. Algebra , 122 : 510 – 519 .
  • Gow , R. 1989 . Unimodular integral lattices associated with the basic spin representations of2An and2Sn . Bull. London Math, Soc , 21 : 257 – 262 .
  • Gross , B. H. 1990 . Group representations and lattices . J. Amer. Math. Soc , 3 : 929 – 960 .
  • Hiss , G. 1990 . The number of trivial composition factors of the Steinberg module . Arch. Math , 54 : 247 – 251 .
  • Jantzen , J. C. 1987 . Representations of Ghevalley groups in their own characteristic . Proc. Symp. Pure Math , 47 : 127 – 146 .
  • Onishchik , A. L. and Vinberg , E. B. 1990 . Lie Groups and Algebraic Groups’ , Berlin : Springer-Verlag .
  • Srinivasan , B. 1968 . The characters of the finite symplectic group Sp(4,q) . Trans. Amer. Math. Soc , 131 : 488 – 525 .
  • Thompson , J, G. 1976 . Finite groups and even lattices . J. Algebra , 38 : 523 – 524 .
  • Huu Tiep , Pham . 1993 . Some globally irreducible representations , Universitat GH Essen .
  • Huu Tiep , Pham . 1994 . Weil representations as globally irreducible representations , Institut fur Experimented Mathematik, Universitat GH Essen .
  • Ward , H. N. 1972 . Representations of symplectic groups . J. Algebra , 20 : 182 – 195 .
  • White , D. L. 1990 . The decomposition numbers of Sp(4,q), q odd . J. Algebra , 131 : 703 – 725 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.