Tell me more ×  What is the relationship between (g,K)-module
and Maass forms for GL(2)?  (g,K)-modules are defined in chapter
2 of Bump, Automorphic forms and representations.  There is a
classification of (g,K)-modules.  What is the relationship
between (g,K)-module and Maass forms for GL(2)? and what does
the classification of (g,K)-module imply for GL(2) Maass forms?
share|improve this question (g,K)!! Does Bump really use (K,g)?
–  David Hansen Sep 19 '11 at 15:11 David is correct. I have
corrected them. –  7-adic Sep 19 '11 at 16:09 Let me suggest you
take a look at the book "Automorphic Representations and
L-Functions for the General Linear Group" by Goldfeld and
Hundley. They talk a lot about Maass forms, and classical forms
as well –  A. Pacetti Sep 22 '11 at 13:47 add comment  2 Answers
up vote 10 down vote accepted  So you've seen that there are
essentially three types of (g, K)-modules: finite-dimensional
ones; principal series; and discrete series. The finite-
dimensional ones don't interest us,