A character formula for a family of simple modular representations of

  • Olivier Mathieu

    University of Strasbourg, France
  • Georges Papadopoulo

    University of Basel, Switzerland

Abstract

Let be an algebraically closed field of finite characteristic , and let be an integer. In the paper, we give a character formula for all simple rational representations of with highest weight any multiple of any fundamental weight. Our formula is slightly more general: say that a dominant weight is special if there are integers such that and . Indeed, we compute the character of any simple module whose highest weight can be written as with all are special. By stabilization, we get a character formula for a family of irreducible rational -modules.

Cite this article

Olivier Mathieu, Georges Papadopoulo, A character formula for a family of simple modular representations of . Comment. Math. Helv. 74 (1999), no. 2, pp. 280–296

DOI 10.1007/S000140050089