| 书目名称 | Elements of the Representation Theory of the Jacobi Group | | 编辑 | Rolf Berndt,Ralf Schmidt | | 视频video | | | 概述 | Very well written monograph combining algebraic groups and number theory.Recommended reading for researchers of modular and automorphic forms.Up to date and structured collection of known results.Incl | | 丛书名称 | Modern Birkhäuser Classics | | 图书封面 |  | | 描述 | .The Jacobi group is a semidirect product of a symplectic group with a Heisenberg group. It is an important example for a non-reductive group and sets the frame within which to treat theta functions as well as elliptic functions - in particular, the universal elliptic curve. .This text gathers for the first time material from the representation theory of this group in both local (archimedean and non-archimedean) cases and in the global number field case. Via a bridge to Waldspurger‘s theory for the metaplectic group, complete classification theorems for irreducible representations are obtained. Further topics include differential operators, Whittaker models, Hecke operators, spherical representations and theta functions. The global theory is aimed at the correspondence between automorphic representations and Jacobi forms. This volume is thus a complement to the seminal book on Jacobi forms by M. Eichler and D. Zagier. .Incorporating results of the authors‘ original research, this exposition is meant for researchers and graduate students interested in algebraic groups and number theory, in particular, modular and automorphic forms..-----------------.The book is very well written and | | 出版日期 | Book 1998 | | 关键词 | Grad; Group Theory; algebraic geometry; algebraic group; number theory; representation theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0283-3 | | isbn_softcover | 978-3-0348-0282-6 | | isbn_ebook | 978-3-0348-0283-3Series ISSN 2197-1803 Series E-ISSN 2197-1811 | | issn_series | 2197-1803 | | copyright | Springer Basel AG 1998 |
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发表于 2025-3-21 16:32:03
