Galois representations associated with unitary groups over Q

Christopher Skinner

doi:10.2140/ant.2012.6.1697

Galois representations associated with unitary groups over Q

Christopher Skinner

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We show that a cuspidal automorphic representation π = ⊗_ℓ≤∞ πℓ of a unitary similitude group GU(a,b)_/Q with archimedean component π_∞ in a regular discrete series has an associated (a + b)-dimensional p-adic Galois representation with Frobenius eigenvalues given by the local base change parameters for all primes ℓ such that π_ℓ and GU(a, b) are unramified.

Original language	English (US)
Pages (from-to)	1697-1719
Number of pages	23
Journal	Algebra and Number Theory
Volume	6
Issue number	8
DOIs	https://doi.org/10.2140/ant.2012.6.1697
State	Published - 2012

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Automorphic representations
Galois representations
Unitary groups

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10.2140/ant.2012.6.1697

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abstract = "We show that a cuspidal automorphic representation π = ⊗ℓ≤∞ πℓ of a unitary similitude group GU(a,b)/Q with archimedean component π∞ in a regular discrete series has an associated (a + b)-dimensional p-adic Galois representation with Frobenius eigenvalues given by the local base change parameters for all primes ℓ such that πℓ and GU(a, b) are unramified.",

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AB - We show that a cuspidal automorphic representation π = ⊗ℓ≤∞ πℓ of a unitary similitude group GU(a,b)/Q with archimedean component π∞ in a regular discrete series has an associated (a + b)-dimensional p-adic Galois representation with Frobenius eigenvalues given by the local base change parameters for all primes ℓ such that πℓ and GU(a, b) are unramified.

KW - Automorphic representations

KW - Galois representations

KW - Unitary groups

UR - https://www.scopus.com/pages/publications/84874202948

UR - https://www.scopus.com/pages/publications/84874202948#tab=citedBy

U2 - 10.2140/ant.2012.6.1697

DO - 10.2140/ant.2012.6.1697

M3 - Article

AN - SCOPUS:84874202948

SN - 1937-0652

VL - 6

SP - 1697

EP - 1719

JO - Algebra and Number Theory

JF - Algebra and Number Theory

IS - 8

ER -

Galois representations associated with unitary groups over Q

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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