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Frobenius Conjugacy Classes
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This chapter analyzes Frobenius conjugacy classes. It shows that in either the split or nonsplit case, when χ is good for N, the conjugacy class FrobE,X has unitary eigenvalues in every representation of the reductive group Garith,N. Now fix a maximal compact subgroup K of the complex reductive group Garith,N (ℂ). The semisimple part (in the sense of Jordan decomposition) of FrobE,X gives rise to a well-defined conjugacy class θE,X in K.
Title: Frobenius Conjugacy Classes
Description:
This chapter analyzes Frobenius conjugacy classes.
It shows that in either the split or nonsplit case, when χ is good for N, the conjugacy class FrobE,X has unitary eigenvalues in every representation of the reductive group Garith,N.
Now fix a maximal compact subgroup K of the complex reductive group Garith,N (ℂ).
The semisimple part (in the sense of Jordan decomposition) of FrobE,X gives rise to a well-defined conjugacy class θE,X in K.
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