## Analysis on homogeneous spaces and representation theory of Lie groups. Based on activities of the RIMS Project Research ’97, Okayama-Kyoto, Japan, during July and August 1997.(English)Zbl 0941.00016

Advanced Studies in Pure Mathematics. 26. Tokyo: Kinokuniya Company Ltd. 359 p. (2000).
The articles of this volume will be reviewed individually.
Indexed articles:
Adams, Jeffrey, Characters of nonlinear groups, 1-18 [Zbl 0960.22016]
Balslev, Erik; Venkov, Alexei, Selberg’s eigenvalue conjecture and the Siegel zeros for Hecke $$L$$-series, 19-32 [Zbl 1024.11035]
Benoist, Yves, Asymptotic properties of linear groups. II, 33-48 [Zbl 0960.22012]
Hayata, Takahiro; Koseki, Harutaka; Oda, Takayuki, Matrix coefficients of the principal $$P_J$$-series and the middle discrete series of $$\mathrm{SU}(2,2)$$, 49-75 [Zbl 0993.22015]
Howe, Roger, $$K$$-type structure in the principal series of $$GL_3$$. I, 77-98 [Zbl 0967.22008]
Kobayashi, Toshiyuki, Discretely decomposable restrictions of unitary representations of reductive Lie groups – examples and conjectures, 99-127 [Zbl 0959.22009]
Kostant, Bertram, On $$\bigwedge {\mathfrak g}$$ for a semisimple Lie algebra $${\mathfrak g}$$, as an equivariant module over the symmetric algebra $$S({\mathfrak g})$$, 129-144 [Zbl 0986.17002]
Mathieu, Olivier, Tilting modules and their applications, 145-212 [Zbl 0987.20022]
Tan, Eng-Chye, On the theta lift for the trivial representation, 213-234 [Zbl 0963.22006]
Tanisaki, Toshiyuki, Hypergeometric systems and Radon transforms for Hermitian symmetric spaces, 235-263 [Zbl 0959.33006]
Tomanov, George, Orbits on homogeneous spaces of arithmetic origin and approximations, 265-297 [Zbl 0960.22006]
Vogan, David A. jun., A Langlands classification for unitary representations, 299-324 [Zbl 1015.22008]
Wakimoto, Minoru, Modular transformation of twisted characters of admissible representations and fusion algebras associated to nonsymmetric transformation matrices, 325-353 [Zbl 0970.17014]

### MSC:

 00B25 Proceedings of conferences of miscellaneous specific interest 22-06 Proceedings, conferences, collections, etc. pertaining to topological groups 43-06 Proceedings, conferences, collections, etc. pertaining to abstract harmonic analysis 20-06 Proceedings, conferences, collections, etc. pertaining to group theory 11-06 Proceedings, conferences, collections, etc. pertaining to number theory 17-06 Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras