elements representation theory jacobi von schmidt ralf (11 Ergebnisse)

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Hardcover. Zustand: Wie neu. Basel, Birkhäuser (2007). gr.8°. XIII, 213 p. Hardbound. Progress in Mathematics, 163.- Incl. bibliography.

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Zustand: New. 2012. 1998th Edition. Paperback. Combining algebraic groups and number theory, this volume gathers material from the representation theory of this group for the first time, doing so for both local (Archimedean and non-Archimedean) cases as well as for the global number field case. Series: Modern Birkhauser Classics. Num Pages: 213 pages, 4 black & white tables, biography. BIC Classification: PBG; PBH; PBMW. Category: (P) Professional & Vocational. Dimension: 235 x 174 x 14. Weight in Grams: 346. Series: Modern Birkhauser Classics. 228 pages, black & white illustrations. Combining algebraic groups and number theory, this volume gathers material from the representation theory of this group for the first time, doing so for both local (Archimedean and non-Archimedean) cases as well as for the global number field case. Cateogry: (P) Professional & Vocational. BIC Classification: PBG; PBH; PBMW. Dimension: 235 x 174 x 14. Weight: 346. . . . . . Books ship from the US and Ireland.

Paperback. Zustand: Brand New. reprint edition. 213 pages. 8.75x5.75x0.50 inches. In Stock.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 gives an up to date collection of the results known. It will be quite useful for everyone working in the field.(Zentralblatt MATH) This book is certainly recommended for researchers interested in modular and automorphic forms.(Mathematical Reviews) This book complements the book on Jacobi forms by M. Eichler and D. Zagier and includes many of the author's original results. It can be read, however, independently of other sources, and it will be very useful for researchers interested in algebraic groups and number theory.(Mathematica).

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - After Pyatetski-Shapiro [PSI] and Satake [Sal] 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 definite 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 Jacobi group and its automor phic forms, for instance by Skoruppa [Sk2], Berndt [Be5] and Kohnen [Ko]. We refer to these for more historical details and many more names of authors active in this theory, which stretches now from number theory and algebraic geometry to theoretical physics. But let us only briefly indicate several - sometimes very closely related - topics touched by Jacobi theory as we see it: fields of meromorphic and rational functions on the universal elliptic curve resp. universal abelian variety structure and projective embeddings of certain algebraic varieties and homogeneous spaces correspondences between different kinds of modular forms L-functions associated to different kinds of modular forms and autom- phic representations induced representations invariant differential operators structure of Hecke algebras determination of generalized Kac-Moody algebras and as a final goal related to the here first mentioned mixed Shimura varieties and mixed motives.

Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher.

Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher.

Gebunden. Zustand: New. 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 universa.