Representation theory of real groups

Letter to Knapp

AttachmentSize
PDF icon letter-to-knapp-1977-05-25_rpl.pdf164.1 KB
Type: 
article
Year: 
May 25, 1977
School of Mathematics: 
Author: 
Robert P. Langlands

Dimension of spaces of automorphic forms

Author: 
Robert P. Langlands
Last Name: 
Langlands
Type: 
article
Journal: 

American Journal of Mathematics

Volume: 
85
Year: 
1963
MathReview: 
156362

Dimension of spaces of automorphic forms

Author: 
Robert P. Langlands
Last Name: 
Langlands
Type: 
article
Journal: 

Proceedings of the AMS Symposium at Boulder, Colorado

Author's Comments: Although the principal purpose of this paper was to review how the Selberg trace formula is combined with character formulas to calculate the dimension of various spaces of automorphic forms. it is included as a paper on representation theory because the most influential observation in the paper was the description of a possible realization of the discrete series representations on spaces of \(L^2\)-cohomology.

Year: 
1965
MathReview: 
212135
School of Mathematics: 

On the classification of irreducible representations of real algebraic groups

Author: 
Robert P. Langlands
Last Name: 
Langlands
AttachmentSize
PDF icon classification-algebraic-groups_rpl.pdf617.35 KB
Type: 
article
Journal: 

Math. Surveys and Monographs

Editorial comments: This was written in 1973. It first appeared as a preprint distributed by the Institute for Advanced Study, and was later (1988) published by the A.M.S. in Math. Surveys and Monographs 31.

Volume: 
31
Year: 
1988
MathReview: 
1011897
School of Mathematics: 

Notes on the Knapp-Zuckerman theory

Author: 
Robert P. Langlands
Last Name: 
AttachmentSize
PDF icon notes-kz-theory_rpl.pdf235.75 KB
Type: 
article
Journal: 

Unpublished

Editorial comments: This has not been published before. It was written around 1977, just after A. Knapp and G. Zuckerman had announced their results on reducible unitary principal series, subsequently explained in a talk at the A.M.S. 1977 summer school in Corvallis (pp. 93-105 of the published proceedings of that conference.)

Year: 
1977
School of Mathematics: 

On unitary representations of the Virasoro algebra

Author: 
Robert P. Langlands
Last Name: 
Langlands
Type: 
article
Journal: 

Infinite-dimensional Lie algebras and their applications

Author's comments: This paper, or some aspects of this paper, have been called into question in

https://mathoverflow.net/q/144419

A good many years have passed since I wrote the paper, so that I cannot easily verify the validity of the criticisms in the above reference. They appeared several years ago and are very likely valid, but anyone who is currently concerned with these matters can decide for himself. I thank Anthony Pulido and Yvan Saint-Aubin for drawing my attention to the paper and to the criticisms.

Year: 
1988
MathReview: 
1114998
Publisher: 
World Scientific
School of Mathematics: 

The factorization of a polynomial defined by partitions

Author: 
Robert P. Langlands
Last Name: 
Langlands
Type: 
article
Journal: 

Commun. Math. Phys.

Volume: 
124
Year: 
1989
MathReview: 
1012867
School of Mathematics: