Titlebook: Geometry and Representation Theory of Real and p-adic groups; Juan Tirao,David A. Vogan,Joseph A. Wolf Textbook 1998 Birkhäuser Boston 199

Dignant

lattice

The Spherical Dual for ,-adic Groups,sible irreducible (g, .) modules in the work of Langlands, Shelstad, Knapp—Zuckerman and Vogan. In the .-adic case they play a significant role in the work of Kazhdan—Lusztig and Lusztig. There is a technical modification in that one considers maps of the Weil—Deligne—Langlands group,..

Incorporate

0743-1643 s, from the work of Gelfand and Naimark on principal series representations to that of Beilinson and Bernstein on localization. The article of Wolf provides a d978-1-4612-8681-3978-1-4612-4162-1Series ISSN 0743-1643 Series E-ISSN 2296-505X

带来的感觉

GENRE

Finite Rank Homogeneous Holomorphic Bundles in Flag Spaces,ns for a real reductive Lie group. In the mid 1950s, Harish-Chandra realized a family of irreducible unitary representations for some semisimple groups, using the global sections of homogeneous bundles defined over Hermitian symmetric spaces [6]. At about the same time Borel and Weil constructed the

allude

火海

Smooth Representations of Reductive ,-adic Groups,f smooth (complex) representations of a .-adic group in terms of certain irreducible representations of compact, open subgroups. Motivation for this program comes from two special cases which may be viewed as extreme examples of what one hopes is a general phenomenon.

遍及

NOTCH

etidronate

Flag Manifolds and Representation Theory,a, August 1995. The topics were complex flag manifolds, real group orbits, and linear cycle spaces, with applications to the geometric construction of representations of semisimple Lie groups. These topics come up in many aspects of complex differential geometry and harmonic analysis.