Odd Degree Base Change Lifting for U(3)
نویسنده
چکیده
Using the trace formula technique, we establish Langlands functorial lifting from the unitary group U(3, E/F ) to RF ′/F U(3, E/F ), where F /F is an odd degree cyclic field extension. We also establish local twisted character identities with respect to this base change lifting.
منابع مشابه
Further results on odd mean labeling of some subdivision graphs
Let G(V,E) be a graph with p vertices and q edges. A graph G is said to have an odd mean labeling if there exists a function f : V (G) → {0, 1, 2,...,2q - 1} satisfying f is 1 - 1 and the induced map f* : E(G) → {1, 3, 5,...,2q - 1} defined by f*(uv) = (f(u) + f(v))/2 if f(u) + f(v) is evenf*(uv) = (f(u) + f(v) + 1)/2 if f(u) + f(v) is odd is a bijection. A graph that admits an odd mean labelin...
متن کاملOn Two Dimensional Weight Two Odd Representations of Totally Real Fields
We say that a two dimensional p-adic Galois representation GF → GL2(Qp) of a number field F is weight two if it is de Rham with Hodge-Tate weights 0 and −1 equally distributed at each place above p; for example, the Tate module of an elliptic curve has this property. The purpose of this paper is to establish a variety of results concerning odd weight two representations of totally real fields i...
متن کاملGeneric Algebras with Involution of Degree 8m
The centers of the generic central simple algebras with involution are interesting objects in the theory of central simple algebras. These fields also arise as invariant fields for linear actions of projective orthogonal or symplectic groups. In this paper, we prove that when the characteristic is not 2, these fields are retract rational, in the case the degree is 8m and m is odd. We achieve th...
متن کاملLifting Formulas, Moyal Product, and Feigin Spectral Sequence
It is shown, that each Lifting cocycle Ψ2n+1,Ψ2n+3,Ψ2n+5, . . . ([Sh1], [Sh2]) on the Lie algebra Difn of polynomial differential operators on an n-dimensional complex vector space is the sum of two cocycles, its even and odd part. We study in more details the first case n = 1. It is shown, that any nontrivial linear combination of two 3-cocycles on the Lie algebra Dif1, arising from the 3-cocy...
متن کاملM-channel lifting-based design of paraunitary and biorthogonal filter banks with structural regularity
This paper presents a lifting-domain design of filter banks with a given McMillan degree. It is based on the M -channel lifting factorizations of the degree-0 and 1 building blocks I − 2uv† and I − uv† + z−1uv†, with v†u = 1. Paraunitariness further requires u = v. The proposed lifting factorization has a unity diagonal scaling throughout, and guarantees perfect reconstruction (PR) even when th...
متن کامل