Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 /

A general principle, discovered by Robert Langlands and named by him the "functoriality principle," predicts relations between automorphic forms on arithmetic subgroups of different reductive groups. Langlands functoriality relates the eigenvalues of Hecke operators acting on the automorph...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Arthur, James (Autor), Clozel, Laurent (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Annals of Mathematics Studies ; 120
Temas:
Automorphic forms.
Representations of groups.
Trace formulas.
MATHEMATICS / Group Theory.
0E.
Addition.
Admissible representation.
Algebraic group.
Algebraic number field.
Approximation.
Archimedean property.
Automorphic form.
Automorphism.
Base change.
Big O notation.
Binomial coefficient.
Canonical map.
Cartan subalgebra.
Cartan subgroup.
Central simple algebra.
Characteristic polynomial.
Closure (mathematics).
Combination.
Computation.
Conjecture.
Conjugacy class.
Connected component (graph theory).
Continuous function.
Contradiction.
Corollary.
Counting.
Coxeter element.
Cusp form.
Cyclic permutation.
Dense set.
Density theorem.
Determinant.
Diagram (category theory).
Discrete series representation.
Discrete spectrum.
Division algebra.
Eigenvalues and eigenvectors.
Eisenstein series.
Exact sequence.
Existential quantification.
Field extension.
Finite group.
Finite set.
Fourier transform.
Functor.
Fundamental lemma (Langlands program).
Galois extension.
Galois group.
Global field.
Grothendieck group.
Group representation.
Haar measure.
Harmonic analysis.
Hecke algebra.
Hilbert's Theorem 90.
Identity component.
Induced representation.
Infinite product.
Infinitesimal character.
Invariant measure.
Irreducibility (mathematics).
Irreducible representation.
L-function.
Langlands classification.
Laurent series.
Lie algebra.
Lie group.
Linear algebraic group.
Local field.
Mathematical induction.
Maximal compact subgroup.
Multiplicative group.
Nilpotent group.
Orbital integral.
P-adic number.
Paley-Wiener theorem.
Parameter.
Parametrization.
Permutation.
Poisson summation formula.
Real number.
Reciprocal lattice.
Reductive group.
Root of unity.
Scientific notation.
Semidirect product.
Special case.
Spherical harmonics.
Subgroup.
Subset.
Summation.
Support (mathematics).
Tensor product.
Theorem.
Trace formula.
Unitary representation.
Weil group.
Weyl group.
Zero of a function.
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