Automorphic forms, representations, and L-functions, Part 1

✍ Scribed by Armand Borel, Bill Casselman, W. Casselman

• Publisher: AMS Bookstore
• Year: 1979
• Tongue: English
• Leaves: 314
• Series: Proceedings of Symposia in Pure Mathematics 33
• Edition: 1st
• Category: Library

✦ Synopsis

part 1 contains sections on Reductive groups, representations, Automorphic forms and representations)

✦ Table of Contents

Title......Page 1
Copyright Page......Page 2
Contents......Page 3
Foreword......Page 6
REDUCTIVE GROUPS......Page 8
REDUCTIVE GROUPS OVER LOCAL FIELDS......Page 33
REPRESENTATIONS OF REDUCTIVE LIE GROUPS......Page 74
REPRESENTATIONS OF GL_2(R) AND GL_2(C)......Page 90
NORMALIZING FACTORS, TEMPERED REPRESENTATIONS, AND L-GROUPS......Page 95
ORBITAL INTEGRALS FOR GL_2(R)......Page 108
REPRESENTATIONS OF p-ADIC GROUPS: A SURVEY......Page 112
CUSPIDAL UNRAMIFIED SERIES......Page 157
SOME REMARKS ON THE SUPERCUSPIDAL REPRESENTATIONS OF p-ADIC SEMISIMPLE GROUPS......Page 170
DECOMPOSITION OF REPRESENTATIONS INTO TENSOR PRODUCTS......Page 175
CLASSICAL AND ADELIC AUTOMORPHIC FORMS. AN INTRODUCTION......Page 180
AUTOMORPHIC FORMS AND AUTOMORPHIC REPRESENTATIONS......Page 184
ON THE NOTION OF AN AUTOMORPHIC REPRESENTATION. A SUPPLEMENT TO THE PRECEDING PAPER......Page 198
MULTIPLICITY ONE THEOREMS......Page 203
FORMS OF GL(2) FROM THE ANALYTIC POINT OF VIEW......Page 207
EISENSTEIN SERIES AND THE TRACE FORMULA......Page 246
\theta-SERIES AND INVARIANT THEORY......Page 268

EXAMPLES OF DUAL REDUCTIVE PAIRS......Page 279
ON A RELATION BETWEEN \tilde{SL}_2 CUSP FORMS AND AUTOMORPHIC FORMS ON ORTHOGONAL GROUPS......Page 289
A COUNTEREXAMPLE TO THE "GENERALIZED RAMANUJAN CONJECTURE"
FOR (QUASI-)SPLIT GROUPS......Page 307