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The Character Table

  • Cédric BonnaféEmail author
Chapter
  • 1.3k Downloads
Part of the Algebra and Applications book series (AA, volume 13)

Abstract

Having parametrised the irreducible characters of the group G in the last chapter, it is natural to turn to the question of determining their values on the elements of G. For this, an important step is the calculation of the characters of the bimodules K[G/U] and \(H_{c}^{i}({\mathbf{Y}})\). For K[G/U], a little elementary linear algebra is sufficient. For \(H_{c}^{i}({\mathbf{Y}})\) it is necessary to invoke certain results from Appendix A. These calculations are enough in order to calculate the majority of the irreducible characters of G, but it does not allow us to determine the values of R±(α 0) and R′±(θ 0). In this last case, we will need to study their restriction to U and to utilise certain elementary arithmetic results (on Gauss sums).

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Institut de Mathématiques et de Modélisation de MontpellierCNRS (UMR 5149), Université Montpellier 2Montpellier CedexFrance

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