Skip to main content

A Summary

  • Chapter
  • 721 Accesses

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Rights and permissions

Reprints and Permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2007). A Summary. In: Local Newforms for GSp(4). Lecture Notes in Mathematics, vol 1918. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73324-9_1

Download citation