Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 (Annals of Mathematics Studies, 123) by Jonathan David Rogawski (PDF)

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The purpose of this book is to develop the stable trace formula for unitary groups in three variables. The stable trace formula is then applied to obtain a classification of automorphic representations. This work represents the first case in which the stable trace formula has been worked out beyond the case of SL (2) and related groups. Many phenomena which will appear in the general case present themselves already for these unitary groups.

User’s Reviews

Editorial Reviews: Review “Reading a book like this may cause the reader to wonder when mathematics turns into art. The author has worked to create a body of knowledge which is impressive in depth and breadth and suggestive in exemplifying phenomena which transcend his special case.” ― Mathematical Reviews From the Back Cover The subject matter of these Notes is the interplay between the theory of automorphic forms and group representations. One goal is to interpret some recent developments in this area, most significantly the theory of Jacquet-Langlands, working out, whenever possible, explicit consequences and connections with the classical theory. Another goal is to collect as much information as possible concerning the decomposition of L2(GL(2, Q)GL(2, A(Q)).

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