11 citations · 20 across the 9 of their papers we have counts for
9 papers
On the Self-adjoint properties of the standard Whittaker -modules
Kenji Taniguchi
The structure of the standard Whittaker -module is examined in the case when the group in question is a real split reductive linear Lie group. This module is an…
The socle filtrations of principal series representations of and
Naoki Hashimoto, Kenji Taniguchi, Go Yamanaka
We study the structure of the -modules of the principal series representations of and induced from minimal parabolic subgrou…
Socle filtrations of the standard Whittaker (g,K)-modules of Spin(r,1)
Kenji Taniguchi
Studied are the composition series of the standard Whittaker (g,K)-modules. For a generic infinitesimal character, the structures of these modules are completely understood, but if…
A construction of generators of
Kenji Taniguchi
We construct generators of the center of the universal enveloping algebra of the complex orthogonal Lie algebra realized as the alternative matrices of size . These elements are…
Closed orbits on partial flag varieties and double flag variety of finite type
Kensuke Kondo, Kyo Nishiyama, Hiroyuki Ochiai +1
Let be a connected reductive algebraic group over $ \C $. We denote by the identity component of the fixed points of an involutive automorphism of $ G…
On the composition series of the standard Whittaker (g,K)-modules
Kenji Taniguchi
For a real reductive linear Lie group G, the space of Whittaker functions is the representation space induced from a non-degenerate unitary character of the Iwasawa nilpotent subgr…