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$L$ Functions for the Orthogonal Group

David GinzburgIlʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-ShapiroStephen Rallis

出版	American Mathematical Soc., 1997
主題	Mathematics / Algebra / GeneralMathematics / Algebra / LinearMathematics / Number Theory
ISBN	08218054369780821805435
URL	http://books.google.com.hk/books?id=PYDTCQAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

In this book, the authors establish global Rankin Selberg integrals which determine the standard [italic capital]L function for the group [italic capitals]GL[subscript italic]r x [italic capital]Gʹ, where [italic capital]Gʹ is an isometry group of a nondegenerate symmetric form. The class of automorphic representations considered here is for any pair [capital Greek]Pi1 [otimes/dyadic/Kronecker/tensor product symbol] [capital Greek]Pi2 where [capital Greek]Pi1 is generic cuspidal for [italic capitals]GL[subscript italic]r([italic capital]A) and [capital Greek]Pi2 is cuspidal for [italic capital]Gʹ([italic capital]A). The construction of these [italic capital]L functions involves the use of certain new "models" of local representations; these models generalize the usual generic models. The authors also computer local unramified factors in a new way using geometric ideas.