The Fundamental Lemma for the Shalika Subgroup of $GL(4)$

The Fundamental Lemma for the Shalika Subgroup of $GL(4)$
Author :
Publisher : American Mathematical Soc.
Total Pages : 167
Release :
ISBN-10 : 9780821805404
ISBN-13 : 0821805401
Rating : 4/5 (401 Downloads)

Book Synopsis The Fundamental Lemma for the Shalika Subgroup of $GL(4)$ by : Solomon Friedberg

Download or read book The Fundamental Lemma for the Shalika Subgroup of $GL(4)$ written by Solomon Friedberg and published by American Mathematical Soc.. This book was released on 1996 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors establish the fundamental lemma for a relative trace formula. The trace formula compares generic automorphic representations of [italic capitals]GS[italic]p(4) with automorphic representations of [italic capitals]GS(4) which are distinguished with respect to a character of the Shalika subgroup, the subgroup of matrices of 2 x 2 block form ([superscript italic]g [over] [subscript capital italic]X [and] 0 [over] [superscript italic]g). The fundamental lemma, giving the equality of the orbital integrals of the unit elements of the respective Hecke algebras, amounts to a comparison of certain exponential sums arising from these two different groups.


The Fundamental Lemma for the Shalika Subgroup of $GL(4)$ Related Books

The Fundamental Lemma for the Shalika Subgroup of $GL(4)$
Language: en
Pages: 167
Authors: Solomon Friedberg
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

GET EBOOK

The authors establish the fundamental lemma for a relative trace formula. The trace formula compares generic automorphic representations of [italic capitals]GS[
Collected Works of Herve Jacquet
Language: en
Pages: 618
Authors: Hervé Jacquet
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: American Mathematical Soc.

GET EBOOK

Herve Jacquet is one of the founders of the modern theory of automorphic representations and their associated $L$-functions. This volume represents a selection
Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity. II
Language: en
Pages: 90
Authors: Eldar Straume
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

GET EBOOK

The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G.
Abelian Galois Cohomology of Reductive Groups
Language: en
Pages: 65
Authors: Mikhail Borovoi
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

GET EBOOK

In this volume, a new function H 2/ab (K, G) of abelian Galois cohomology is introduced from the category of connected reductive groups G over a field K of char
Cyclic Phenomena for Composition Operators
Language: en
Pages: 122
Authors: Paul Bourdon
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

GET EBOOK

We undertake a systematic study of cyclic phenomena for composition operators. Our work shows that composition operators exhibit strikingly diverse types of cyc