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Correspondances De Howe Sur UN Corps p-Adique (French, Paperback, 1987 ed.)
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Correspondances De Howe Sur UN Corps p-Adique (French, Paperback, 1987 ed.)
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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.
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