Representations of Finite Groups of Lie Type

  title={Representations of Finite Groups of Lie Type},
  author={Charles W. Curtis},
The representation theory of a group G over the field of complex numbers involves two problems: first, the construction of the irreducible representations of G; and second, the problem of expressing each suitably restricted complex valued function on G, as a linear combination (or a limit of linear combinations), of the coefficients of the irreducible representations. For example, if G is the additive group of real numbers mod 1 (the one-dimensional torus), one considers integrable functions on… CONTINUE READING
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