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L Functions for the Orthogonal Group

L Functions for the Orthogonal Group - Memoirs of the American Mathematical Society

Paperback (30 Aug 1997)

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Publisher's Synopsis

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.

Book information

ISBN: 9780821805435
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 510 s
DEWEY edition: 21
Language: English
Number of pages: 218
Weight: 410g
Height: 180mm
Width: 253mm
Spine width: 16mm