Advanced Studies in Pure Mathematics 2000; 359 pp; hardcover Volume: 26 ISBN10: 4314101385 ISBN13: 9784314101387 List Price: US$96 Member Price: US$76.80 Order Code: ASPM/26
 This volume is an outgrowth of the activities of the RIMS Research Project, which presented symposia offering both individual lectures on specialized topics and expository courses on current research. The subjects therein reflect very active areas in the representation theory of Lie groups. Also included are various topical interactions with geometry of homogeneous spaces, automorphic forms, quantum groups, special functions, discrete groups, differential equations, etc. Comprising results from some of today's most active areas of research, this volume will serve as an excellent uptodate guide to the representation theory of Lie groups. Volumes in this series are freely available electronically 5 years postpublication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Graduate students and research mathematicians interested in Lie groups and their representations. Table of Contents  J. Adams  Characters of nonlinear groups
 E. Balslev and A. Venkov  Selberg's eigenvalue conjecture and the Siegel zeros for Hecke \(L\)series
 Y. Benoist  Propriétés asymptotiques des groupes linéaires (II)
 T. Hayata, H. Koseki, and T. Oda  Matrix coefficients of the principal \(P_j\)series and the middle discrete series of \(SU(2,2)\)
 R. Howe  \(K\)type structure in the principal series of \(GL_3\), I
 T. Kobayashi  Discretely decomposable restrictions of unitary representations of reductive Lie groupsexamples and conjectures
 B. Kostant  On \(\wedge\mathfrak g\) for a semisimple Lie algebra \(\mathfrak g\), as an equivariant module over the symmetric algebra \(S(\mathfrak g)\)
 O. Mathieu  Tilting modules and their applications
 E.C. Tan  On the theta lift for the trivial representation
 T. Tanisaki  Hypergeometric systems and Radon transforms for Hermitian symmetric spaces
 G. Tomanov  Orbits on homogeneous spaces of arithmetic origin and approximations
 D. A. Vogan, Jr.  A Langlands classification for unitary representations
 M. Wakimoto  Modular transformation of twisted characters of admissible representations and fusion algebras associated to nonsymmetric transformation matrices
 Symposia
