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A Summary

Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1918)

The local theory of new- and oldforms for representations of GL(2) is a tool for studying automorphic forms on GL(2) and their applications. This theory singles out, in infinite-dimensional representations, certain vectors which encode information. Thus, this theory lies at the intersection of representation theory, modular forms theory, and applications to number theory. See the work of Casselman [Ca2]; for more information and references, see [Sch1]. The paper [JPSS] generalized some aspects of the theory for GL(2) to GL(n) for generic representations.

Keywords

Short Exact Sequence Double Coset Siegel Modular Form Admissible Representation Smooth Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

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