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Explicit Brauer induction - MaRDI portal

Explicit Brauer induction (Q916776)

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scientific article; zbMATH DE number 4154703
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English
Explicit Brauer induction
scientific article; zbMATH DE number 4154703

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    Explicit Brauer induction (English)
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    1988
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    Utilizing the Atiyah-Bott-fixed-point-theorem the author derives a canonical form for the classical Brauer induction theorem and its generalizations to compact Lie groups. With a slightly different approach these results and many applications are also described in the author's book ``Topological methods in Galois representation theory'' (Wiley, New York, 1989; Zbl 0673.12009).
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    Grothendieck group
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    finite group
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    compact Lie groups
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    monomial representations
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    Galois group of a number field
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    permutation representations
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    Dedekind zeta functions
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    Atiyah-Bott-fixed-point- theorem
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    Brauer induction theorem
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