Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory considers vectors fixed by the paramodular groups, and singles out certain vectors that encode canonical information, such as L-factors and epsilon-factors, through their Hecke and Atkin-Lehner eigenvalues. While there are analogies to the GL(2) case, this theory is novel and unanticipated by the existing framework of conjectures. An appendix includes extensive tables about the results and the representation theory of GSp(4).
| ISBN: | 9783540733232 |
| Publication date: | 20th August 2007 |
| Author: | Brooks Roberts, Ralf Schmidt |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 312 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Number theory Algebra Groups and group theory |
Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory considers vectors fixed by the paramodular groups, and singles out certain vectors that encode canonical information, such as L-factors and epsilon-factors, through their Hecke and Atkin-Lehner eigenvalues. While there are analogies to the GL(2) case, this theory is novel and unanticipated by the existing framework of conjectures. An appendix includes extensive tables about the results and the representation theory of GSp(4).
Local Newforms for GSp(4) features in the following genres: Number theory, Algebra, Groups and group theory
Local Newforms for GSp(4) is available in Paperback
Local Newforms for GSp(4) was written by Brooks Roberts, Ralf Schmidt and published by Springer an imprint of Springer Berlin Heidelberg
Local Newforms for GSp(4) has 312 pages
Yes it is part of Lecture Notes in Mathematics series