$L$ Functions for the Orthogonal Group (eBook)

David Ginzburg (Autor)

eBook Download: PDF

218 Seiten
American Mathematical Society (Verlag)
978-1-4704-0196-2 (ISBN)

Infos

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 "e;models"e; of local representations; these models generalize the usual generic models. The authors also compute local unramified factors in a new way using geometric ideas.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• ISBN-10: 1-4704-0196-7 / 1470401967
• ISBN-13: 978-1-4704-0196-2 / 9781470401962