L Functions for the Orthogonal Group
Seiten
1997
American Mathematical Society (Verlag)
978-0-8218-0543-5 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-0543-5 (ISBN)
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Establishes global Rankin Selberg integrals which determine the standard $L$ function for the group $GL_r/times G'$, where $G'$ is an isometry group of a nondegenerate symmetric form. This book also considers the class of automorphic representations that is for any pair $/prod_1/otimes/prod_2$.
In this book, the authors establish global Rankin Selberg integrals which determine the standard $L$ function for the group $GL_r/times G'$, where $G'$ is an isometry group of a nondegenerate symmetric form. The class of automorphic representations considered here is for any pair $/prod_1/otimes/prod_2$ where $/prod_1$ is generic cuspidal for $GL_r(A)$ and $/prod_2$ is cuspidal for $G'(A)$. The construction of these $L$ functions involves the use of certain new 'models' of local representations; these models generalize the usual generic models. The authors also compute local unramified factors in a new way using geometric ideas.
In this book, the authors establish global Rankin Selberg integrals which determine the standard $L$ function for the group $GL_r/times G'$, where $G'$ is an isometry group of a nondegenerate symmetric form. The class of automorphic representations considered here is for any pair $/prod_1/otimes/prod_2$ where $/prod_1$ is generic cuspidal for $GL_r(A)$ and $/prod_2$ is cuspidal for $G'(A)$. The construction of these $L$ functions involves the use of certain new 'models' of local representations; these models generalize the usual generic models. The authors also compute local unramified factors in a new way using geometric ideas.
Introduction Basic data Support ideals Certain Jacquet functors Global theory Support ideals (II) Calculation of local factors Determination of $/gamma$-factors (spherical case) Determination of $/gamma$-factors (spherical-Whittaker case) Bibliography.
| Erscheint lt. Verlag | 30.8.1997 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 415 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| ISBN-10 | 0-8218-0543-6 / 0821805436 |
| ISBN-13 | 978-0-8218-0543-5 / 9780821805435 |
| Zustand | Neuware |
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