Automorphic Representation of Unitary Groups in Three Variables

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A01=Jonathan David Rogawski
Abelian group
Addition
Admissible representation
Algebraic group
Algebraic number field
Asymptotic expansion
Author_Jonathan David Rogawski
Automorphism
Base change
Base change map
Bijection
Cartan subgroup
Category=PBG
Category=PBKQ
Class function (algebra)
Coefficient
Combination
Complementary series representation
Complex number
Congruence subgroup
Conjugacy class
Continuous function
Diagram (category theory)
Differential operator
Dimension
Dimension (vector space)
Division algebra
Eigenvalues and eigenvectors
Embedding
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Existential quantification
Finite set
Fourier transform
Fundamental lemma (Langlands program)
G factor (psychometrics)
Galois group
Global field
Haar measure
Hecke algebra
Homomorphism
Hyperbolic set
Irreducible representation
Isomorphism class
L-function
Langlands classification
Mathematical induction
Maximal torus
Multiplicative group
Orbital integral
Oscillator representation
P-adic number
Parity (mathematics)
Principal series representation
Quaternion
Quaternion algebra
Reductive group
Representation theory
Ring of integers
Scientific notation
Semisimple algebra
Set (mathematics)
Shimura variety
Special case
Stable distribution
Subgroup
Support (mathematics)
Tate conjecture
Tensor product
Theorem
Trace formula
Triangular matrix
Unitary group
Variable (mathematics)

Product details

  • ISBN 9780691085876
  • Weight: 397g
  • Dimensions: 152 x 229mm
  • Publication Date: 21 Sep 1990
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
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The purpose of this book is to develop the stable trace formula for unitary groups in three variables. The stable trace formula is then applied to obtain a classification of automorphic representations. This work represents the first case in which the stable trace formula has been worked out beyond the case of SL (2) and related groups. Many phenomena which will appear in the general case present themselves already for these unitary groups.

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