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Elements of the Representation Theory of the Jacobi Group (Paperback, 2nd Revised edition) Loot Price: R1,521
Discovery Miles 15 210
Elements of the Representation Theory of the Jacobi Group (Paperback, 2nd Revised edition): Rolf Berndt, Ralf Schmidt

Elements of the Representation Theory of the Jacobi Group (Paperback, 2nd Revised edition)

Rolf Berndt, Ralf Schmidt

Series: Modern Birkhauser Classics

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Loot Price R1,521 Discovery Miles 15 210 | Repayment Terms: R143 pm x 12*

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After Pyatetski-Shapiro[PS1] and Satake [Sa1] introduced, independent of one another, an early form of the Jacobi Theory in 1969 (while not naming it as such), this theory was given a de?nite push by the book The Theory of Jacobi Forms by Eichler and Zagier in 1985. Now, there are some overview articles describing the developments in the theory of the Jacobigroupandits autom- phic forms, for instance by Skoruppa[Sk2], Berndt [Be5] and Kohnen [Ko]. We refertotheseformorehistoricaldetailsandmanymorenamesofauthorsactive inthistheory,whichstretchesnowfromnumbertheoryandalgebraicgeometry to theoretical physics. But let us only brie?y indicate several- sometimes very closely related - topics touched by Jacobi theory as we see it: * ?eldsofmeromorphicandrationalfunctionsontheuniversalellipticcurve resp. universal abelian variety * structure and projective embeddings of certain algebraic varieties and homogeneous spaces * correspondences between di?erent kinds of modular forms * L-functions associated to di?erent kinds of modular forms and autom- phic representations * induced representations * invariant di?erential operators * structure of Hecke algebras * determination of generalized Kac-Moody algebras and as a ? nal goal related to the here ?rst mentioned * mixed Shimura varieties and mixed motives. Now, letting completely aside the arithmetical and algebraic geometrical - proach to Jacobi forms developed and instrumentalized by Kramer [Kr], we ix x Introduction will treat here a certain representation theoretic point of view for the Jacobi theory parallel to the theory of Jacquet-Langlands [JL] for GL(2) as reported by Godement [Go2], Gelbart [Ge1] and, recently, Bump [Bu].

General

Imprint: Birkhauser Verlag AG
Country of origin: Switzerland
Series: Modern Birkhauser Classics
Release date: 2012
First published: 1998
Authors: Rolf Berndt • Ralf Schmidt
Dimensions: 235 x 155 x 14mm (L x W x T)
Format: Paperback
Pages: 213
Edition: 2nd Revised edition
ISBN-13: 978-3-03-480282-6
Categories: Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
Books > Science & Mathematics > Mathematics > Number theory > General
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LSN: 3-03-480282-X
Barcode: 9783034802826

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