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Local Newforms for GSp(4) / by Brooks Roberts, Ralf Schmidt.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Roberts, Brooks, 1964- author.
- Schmidt, Ralf, 1968- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1918.
- Lecture Notes in Mathematics, 0075-8434 ; 1918
- Language:
- English
- Subjects (All):
- Number theory.
- Algebra.
- Topological groups.
- Number Theory.
- Topological Groups, Lie Groups.
- Local Subjects:
- Number Theory.
- Algebra.
- Topological Groups, Lie Groups.
- Physical Description:
- 1 online resource (VIII, 312 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
- System Details:
- text file PDF
- Summary:
- 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).
- Contents:
- A Summary
- Representation Theory
- Paramodular Vectors
- Zeta Integrals
- Non-supercuspidal Representations
- Hecke Operators
- Proofs of the Main Theorems.
- Other Format:
- Printed edition:
- ISBN:
- 9783540733249
- Access Restriction:
- Restricted for use by site license.
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