Math @ Duke
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Publications [#374133] of Jessica Fintzen
Papers Published
- Fintzen, J, Tame Cuspidal Representations in Non-Defining Characteristics,
Michigan Mathematical Journal, vol. 72
(August, 2022),
pp. 331-342 [doi]
(last updated on 2024/07/10)
Abstract: Let F be a nonarchimedean local field of residual characteristic p = 2. Let G be a (connected) reductive group that splits over a tamely ramified field extension of F. We show that a construction analogous to Yu's construction of complex supercuspidal representations yields smooth, irreducible, cuspidal representations over an arbitrary algebraically closed field R of characteristic different from p. Moreover, we prove that this construction provides all smooth, irreducible, cuspidal R-representations if p does not divide the order of the Weyl group of G.
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