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Intertwining of simple characters in GL(n)
Cuspidal representation p-adic general linear group intertwining simple character endo-class G-type
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2011/9/1
Abstract: Let $F$ be a non-Archimedean local field and let $G$ be the general linear group $G = \text{\rm GL}_n(F)$. Let $\theta_1$, $\theta_2$ be simple characters in $G$. We show that $\theta_1$ int...
Additive decompositions induced by multiplicative characters over finite fields
Characters Residuacity Finite Fields
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2011/8/26
Abstract: In 1952, Perron showed that quadratic residues in a field of prime order satisfy certain ad- ditive properties. This result has been generalized in different directions, and our contribution...
Central characters for smooth irreducible modular representations of GL_2(Q_p)
Smooth representation admissible representation parabolic induction supersingular representation central character Schur’s lemma
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2011/8/24
Abstract: We prove that every smooth irreducible F_p^alg-linear representation of GL_2(Q_p) admits a central character.
Gaussian concentration of the q-characters of the Hecke algebras of type A
Gaussian concentration q-characters of the Hecke algebras type A
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2010/12/9
We show that with respect to the q-Plancherel measure on partitions of size n, the irreducible
characters of an Hecke algebra Hq(Sn) are concentrated around the normalized trace of Hq(Sn). More preci...