| Correspondances de Howe Sur Un Corps P-Adique 1987 Edition Contributor(s): Moeglin, Colette (Author), Vignéras, Marie-France (Author), Waldspurger, Jean-Loup (Author) |
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ISBN: 3540186999 ISBN-13: 9783540186991 Publisher: Springer OUR PRICE: $28.49 Product Type: Paperback Language: French Published: December 1987 Annotation: This book grew out of seminar held at the University of Paris 7 during the academic year 1985-86. The aim of the seminar was to give an exposition of the theory of the Metaplectic Representation (or Weil Representation) over a p-adic field. The book begins with the algebraic theory of symplectic and unitary spaces and a general presentation of metaplectic representations. It continues with exposA(c)s on the recent work of Kudla (Howe Conjecture and induction) and of Howe (proof of the conjecture in the unramified case, representations of low rank). These lecture notes contain several original results. The book assumes some background in geometry and arithmetic (symplectic forms, quadratic forms, reductive groups, etc.), and with the theory of reductive groups over a p-adic field. It is written for researchers in p-adic reductive groups, including number theorists with an interest in the role played by the Weil Representation and -series in the theory of automorphic forms. |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory - Mathematics | Number Theory - Mathematics | Algebra - Abstract |
| Dewey: 512.2 |
| LCCN: 87032415 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.38" H x 6.14" W x 9.21" (0.57 lbs) 163 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book grew out of seminar held at the University of Paris 7 during the academic year 1985-86. The aim of the seminar was to give an exposition of the theory of the Metaplectic Representation (or Weil Representation) over a p-adic field. The book begins with the algebraic theory of symplectic and unitary spaces and a general presentation of metaplectic representations. It continues with expos s on the recent work of Kudla (Howe Conjecture and induction) and of Howe (proof of the conjecture in the unramified case, representations of low rank). These lecture notes contain several original results. The book assumes some background in geometry and arithmetic (symplectic forms, quadratic forms, reductive groups, etc.), and with the theory of reductive groups over a p-adic field. It is written for researchers in p-adic reductive groups, including number theorists with an interest in the role played by the Weil Representation and -series in the theory of automorphic forms. |