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Elements of the Representation Theory of the Jacobi Group (Progress in Mathematics) [Hardcover]

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Item description for Elements of the Representation Theory of the Jacobi Group (Progress in Mathematics) by Rolf Berndt...

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.



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Item Specifications...


Pages   213
Est. Packaging Dimensions:   Length: 9.44" Width: 6.37" Height: 0.68"
Weight:   1.16 lbs.
Binding  Hardcover
Release Date   Jul 1, 1998
Publisher   Birkhäuser Basel
ISBN  3764359226  
ISBN13  9783764359225  


Availability  0 units.


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1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
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5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
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8Books > Subjects > Science > Mathematics > Applied > Probability & Statistics
9Books > Subjects > Science > Mathematics > General
10Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
11Books > Subjects > Science > Mathematics > Mathematical Analysis
12Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus
13Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory
14Books > Subjects > Science > Mathematics > Pure Mathematics > Number Theory



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