Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 /

Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski.

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...

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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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Rogawski, Jonathan David,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1991
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 123
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spelling Rogawski, Jonathan David, author. aut http://id.loc.gov/vocabulary/relators/aut
Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / Jonathan David Rogawski.
Princeton, NJ : Princeton University Press, [2016]
©1991
1 online resource (272 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Annals of Mathematics Studies ; 123
Frontmatter -- Introduction -- Chapter 1. Preliminary definitions and notation -- Chapter 2. The trace formula -- Chapter 3. Stable conjugacy -- Chapter 4. Orbital integrals and endoscopic groups -- Chapter 5. Stabilization -- Chapter 6. Weighted orbital integrals -- Chapter 7. Elliptic singular terms -- Chapter 8. Germ expansions and limit formulas -- Chapter 9. Singularities -- Chapter 10. The stable trace formula -- Chapter 11. The Unitary group in two variables -- Chapter 12. Representation theory -- Chapter 13. Automorphic representations -- Chapter 14. Comparison of inner forms -- Chapter 15. Additional results -- References -- Subject Index -- Notation Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Automorphic forms.
Representations of groups.
Trace formulas.
Unitary groups.
MATHEMATICS / Group Theory. bisacsh
Abelian group.
Abuse of notation.
Addition.
Admissible representation.
Algebraic closure.
Algebraic group.
Algebraic number field.
Asymptotic expansion.
Automorphism.
Base change map.
Base change.
Bijection.
Borel subgroup.
Cartan subgroup.
Class function (algebra).
Coefficient.
Combination.
Compact group.
Complementary series representation.
Complex number.
Congruence subgroup.
Conjugacy class.
Continuous function.
Corollary.
Countable set.
Diagram (category theory).
Differential operator.
Dimension (vector space).
Dimension.
Discrete spectrum.
Division algebra.
Division by zero.
Eigenvalues and eigenvectors.
Embedding.
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.
Index notation.
Irreducible representation.
Isomorphism class.
L-function.
Langlands classification.
Linear combination.
Local field.
Mathematical induction.
Maximal compact subgroup.
Maximal torus.
Morphism.
Multiplicative group.
Neighbourhood (mathematics).
Orbital integral.
Oscillator representation.
P-adic number.
Parity (mathematics).
Principal series representation.
Quaternion algebra.
Quaternion.
Reductive group.
Regular element.
Remainder.
Representation theory.
Ring of integers.
Scientific notation.
Semisimple algebra.
Set (mathematics).
Shimura variety.
Simple algebra.
Smoothness.
Special case.
Stable distribution.
Subgroup.
Summation.
Support (mathematics).
Tate conjecture.
Tensor product.
Theorem.
Trace formula.
Triangular matrix.
Unitary group.
Variable (mathematics).
Weight function.
Weil group.
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496
print 9780691085876
https://doi.org/10.1515/9781400882441
https://www.degruyter.com/isbn/9781400882441
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language English
format eBook
author Rogawski, Jonathan David,
Rogawski, Jonathan David,
spellingShingle Rogawski, Jonathan David,
Rogawski, Jonathan David,
Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 /
Annals of Mathematics Studies ;
Frontmatter --
Introduction --
Chapter 1. Preliminary definitions and notation --
Chapter 2. The trace formula --
Chapter 3. Stable conjugacy --
Chapter 4. Orbital integrals and endoscopic groups --
Chapter 5. Stabilization --
Chapter 6. Weighted orbital integrals --
Chapter 7. Elliptic singular terms --
Chapter 8. Germ expansions and limit formulas --
Chapter 9. Singularities --
Chapter 10. The stable trace formula --
Chapter 11. The Unitary group in two variables --
Chapter 12. Representation theory --
Chapter 13. Automorphic representations --
Chapter 14. Comparison of inner forms --
Chapter 15. Additional results --
References --
Subject Index --
Notation Index
author_facet Rogawski, Jonathan David,
Rogawski, Jonathan David,
author_variant j d r jd jdr
j d r jd jdr
author_role VerfasserIn
VerfasserIn
author_sort Rogawski, Jonathan David,
title Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 /
title_full Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / Jonathan David Rogawski.
title_fullStr Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / Jonathan David Rogawski.
title_full_unstemmed Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / Jonathan David Rogawski.
title_auth Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 /
title_alt Frontmatter --
Introduction --
Chapter 1. Preliminary definitions and notation --
Chapter 2. The trace formula --
Chapter 3. Stable conjugacy --
Chapter 4. Orbital integrals and endoscopic groups --
Chapter 5. Stabilization --
Chapter 6. Weighted orbital integrals --
Chapter 7. Elliptic singular terms --
Chapter 8. Germ expansions and limit formulas --
Chapter 9. Singularities --
Chapter 10. The stable trace formula --
Chapter 11. The Unitary group in two variables --
Chapter 12. Representation theory --
Chapter 13. Automorphic representations --
Chapter 14. Comparison of inner forms --
Chapter 15. Additional results --
References --
Subject Index --
Notation Index
title_new Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 /
title_sort automorphic representation of unitary groups in three variables. (am-123), volume 123 /
series Annals of Mathematics Studies ;
series2 Annals of Mathematics Studies ;
publisher Princeton University Press,
publishDate 2016
physical 1 online resource (272 p.)
Issued also in print.
contents Frontmatter --
Introduction --
Chapter 1. Preliminary definitions and notation --
Chapter 2. The trace formula --
Chapter 3. Stable conjugacy --
Chapter 4. Orbital integrals and endoscopic groups --
Chapter 5. Stabilization --
Chapter 6. Weighted orbital integrals --
Chapter 7. Elliptic singular terms --
Chapter 8. Germ expansions and limit formulas --
Chapter 9. Singularities --
Chapter 10. The stable trace formula --
Chapter 11. The Unitary group in two variables --
Chapter 12. Representation theory --
Chapter 13. Automorphic representations --
Chapter 14. Comparison of inner forms --
Chapter 15. Additional results --
References --
Subject Index --
Notation Index
isbn 9781400882441
9783110494914
9783110442496
9780691085876
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA171
callnumber-sort QA 3171
url https://doi.org/10.1515/9781400882441
https://www.degruyter.com/isbn/9781400882441
https://www.degruyter.com/document/cover/isbn/9781400882441/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 512 - Algebra
dewey-full 512/.2
dewey-sort 3512 12
dewey-raw 512/.2
dewey-search 512/.2
doi_str_mv 10.1515/9781400882441
oclc_num 979747114
work_keys_str_mv AT rogawskijonathandavid automorphicrepresentationofunitarygroupsinthreevariablesam123volume123
status_str n
ids_txt_mv (DE-B1597)467935
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carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
is_hierarchy_title Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 /
container_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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