Character expansions and unrefined minimal K-types
Copyright policy )Character expansions and unrefined minimal K-types
Let k be a p -adic field. Let G be the group of k -rational points of a connected reductive group G defined over k , and let [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /] be its Lie algebra. Under certain hypotheses on G and k , we get a new character expansion, called a Γ- asymptotic expansion , for representations of positive depth [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="02i" /]. This character expansion is valid on the G -domain [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="03i" /], which is bigger than that where the Harish-Chandra-Howe character expansion is known to be valid.
Harish-Chandra-Howe character expansion, reductive group, character expansion, irreducible admissible representation, positive depth, Representations of Lie and linear algebraic groups over local fields
Harish-Chandra-Howe character expansion, reductive group, character expansion, irreducible admissible representation, positive depth, Representations of Lie and linear algebraic groups over local fields
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