Test vectors for finite periods and base change
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DOI: 10.1016/j.aim.2019.106915
Abstract: Let $E/F$ be a quadratic extension of finite fields. By a result of Gow, an irreducible representation $\pi$ of $G = {\rm GL}_n(E)$ has at most one non-zero $H$-invariant vector, up to multiplication by scalars,… read more here.
Keywords: base change; test vectors; bessel function; base ... See more keywords
Flat base change formulas for (g,K)-modules over Noetherian rings
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DOI: 10.1016/j.jalgebra.2018.08.005
Abstract: Abstract We discuss the flat base change formulas of the functor I and its derived functor. In particular, a flat base change theorem for A q ( λ ) is obtained. read more here.
Keywords: formulas modules; change formulas; flat base; base change ... See more keywords
Base change along the Frobenius endomorphism and the Gorenstein property
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DOI: 10.1016/j.jalgebra.2021.12.001
Abstract: Let $R$ be a local ring of positive characteristic and $X$ a complex with nonzero finitely generated homology and finite injective dimension. We prove that if derived base change of $X$ via the Frobenius (or… read more here.
Keywords: base change; change along; endomorphism; base ... See more keywords
Central values of twisted base change L-functions associated to Hilbert modular forms
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DOI: 10.1016/j.jnt.2018.03.005
Abstract: We use relative trace formula to prove a non-vanishing result and a subconvexity result for the twisted base change $L$-functions associated to Hilbert modular forms whose local components at ramified places are some supercuspidal representations.… read more here.
Keywords: change functions; associated hilbert; functions associated; twisted base ... See more keywords
Quaternion distinguished representations and unstable base change for unitary groups
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DOI: 10.1016/j.jnt.2019.01.011
Abstract: Abstract Let E / F be a quadratic extension of number fields and D a quaternion algebra over F which E embeds. Flicker and Rallis conjectured that a cuspidal automorphic representation π of GL (… read more here.
Keywords: unstable base; base change; quaternion distinguished;
Frobenius base change of torsors
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DOI: 10.1016/j.jpaa.2018.04.006
Abstract: Abstract We study the Frobenius base change of a torsor under a smooth algebraic group over a field of positive characteristic by relating it to the pushforward of the torsor under the Frobenius homomorphism. As… read more here.
Keywords: base change; change; change torsors; frobenius base ... See more keywords