Weil’s "Sur certains groupes d’opérateurs unitaires"

E860127

Weil’s "Sur certains groupes d’opérateurs unitaires" is a foundational mathematical paper by André Weil that introduces and studies the Weil representation, a key construction in representation theory and number theory.

All labels observed (2)

How this entity was disambiguated

Statements (49)

Predicate Object
instanceOf mathematical paper
research article
author André Weil
Weil, André
citedAs Weil, Sur certains groupes d’opérateurs unitaires
citedFor applications to theta functions
construction of the metaplectic group
introduction of the Weil representation
context complex local fields
local fields
p-adic fields
real local fields
field algebraic number theory
automorphic forms
harmonic analysis on groups
mathematics
pure mathematics
representation theory
hasInfluenceOn Langlands program
modern representation theory of reductive groups
theory of automorphic representations
theta correspondence
introducesConcept Weil representation
metaplectic representation
isFoundationalFor Weil representation theory
metaplectic group theory
theta correspondence in automorphic forms
keyConstruction Weil representation of the metaplectic group
linked to: Weil representation

oscillator representation
language French
mainTopic Heisenberg group
Weil representation
harmonic analysis
metaplectic group
number theory
representation theory
symplectic group
theta functions
unitary representations
mathematicianSubject André Weil
relatedTo Fourier transform on local fields
Stone–von Neumann theorem
quadratic forms
symplectic vector spaces
theta series
studies Heisenberg group representations
intertwining operators
projective representations of the symplectic group
unitary representations of the symplectic group

How these facts were elicited

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Weil representation appearsIn Weil’s "Sur certains groupes d’opérateurs unitaires"
Sur certains groupes d’opérateurs unitaires citedAs Weil, Sur certains groupes d’opérateurs unitaires
linked to: Weil’s "Sur certains groupes d’opérateurs unitaires"