38 citations · 105 across the 16 of their papers we have counts for
16 papers
Square integrability of regular representations on reductive homogeneous spaces
Kazushi Maeda, Yoshiki Oshima
Let be a real reductive Lie group and a reductive subgroup of . Benoist-Kobayashi studied when is a tempered representation of and in particular they gave…
On the asymptotic support of Plancherel measures for homogeneous spaces
Benjamin Harris, Yoshiki Oshima
Let be a real linear reductive group and let be a unimodular, locally algebraic subgroup. Let be the set of irreducible unitary representatio…
Restriction of irreducible unitary representations of Spin(N,1) to parabolic subgroups
Gang Liu, Yoshiki Oshima, Jun Yu
In this paper, we obtain explicit branching laws for all irreducible unitary representations of $\Spin(N,1)$ restricted to a parabolic subgroup . The restriction turns out to be…
Collapsing K3 surfaces, Tropical geometry and Moduli compactifications of Satake, Morgan-Shalen type
Yuji Odaka, Yoshiki Oshima
We provide a moduli-theoretic framework for the collapsing of Ricci-flat Kahler metrics via compactification of moduli varieties of Morgan-Shalen and Satake type. In patricular, we…
Collapsing K3 Surfaces and Moduli Compactification
Yuji Odaka, Yoshiki Oshima
This note is a summary of our work [OO] which provides an explicit and global moduli-theoretic framework for the collapsing of Ricci-flat Kahler metrics and we use it to study espe…
Irreducible Characters and Semisimple Coadjoint Orbits
Benjamin Harris, Yoshiki Oshima
When is a real, linear algebraic group, the orbit method predicts that nearly all of the unitary dual of consists of representations naturally ass…
Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. -- The Translation Principle and Intertwining Operators for Spinors
Jan Frahm, Bent Ørsted
For a symmetric pair of reductive groups we extend to a large class of generalized principal series representations our previous construction of meromorphic families of sym…
Determinant Formula for Parabolic Verma Modules of Lie Superalgebras
Yoshiki Oshima, Masahito Yamazaki
We prove a determinant formula for a parabolic Verma module of a Lie superalgebra, previously conjectured by the second author. Our determinant formula generalizes the previous res…
Discrete branching laws for minimal holomorphic representations
Jan Möllers, Yoshiki Oshima
We find the explicit branching laws for the restriction of minimal holomorphic representations to symmetric subgroups in the case where the restriction is discretely decomposable.…
Knapp-Stein type intertwining operators for symmetric pairs
Jan Möllers, Bent Ørsted, Yoshiki Oshima
For a symmetric pair of reductive groups we construct a family of intertwining operators between spherical principal series representations of and that are induced…
Restriction of some unitary representations of O(1,N) to symmetric subgroups
Jan Möllers, Yoshiki Oshima
We find the complete branching law for the restriction of certain unitary representations of to the subgroups , . The unitary repre…
On orbits in double flag varieties for symmetric pairs
Xuhua He, Kyo Nishiyama, Hiroyuki Ochiai +1
Let be a connected, simply connected semisimple algebraic group over the complex number field, and let be the fixed point subgroup of an involutive automorphism of $ G…
Localization of cohomological induction
Yoshiki Oshima
We give a geometric realization of cohomologically induced (g,K)-modules. Let (h,L) be a subpair of (g,K). The cohomological induction is an algebraic construction of (g,K)-modules…
Classification of symmetric pairs with discretely decomposable restrictions of (g,K)-modules
Toshiyuki Kobayashi, Yoshiki Oshima
We give a complete classification of reductive symmetric pairs (g, h) with the following property: there exists at least one infinite-dimensional irreducible (g,K)-module X that is…
On the restriction of Zuckerman's derived functor modules A_q(λ) to reductive subgroups
Yoshiki Oshima
In this article, we study the restriction of Zuckerman's derived functor (g,K)-modules A_q(λ) to g' for symmetric pairs of reductive Lie algebras (g,g'). When the restriction decom…
Classification of discretely decomposable A_q(λ) with respect to reductive symmetric pairs
Toshiyuki Kobayashi, Yoshiki Oshima
We give a classification of the triples (g,g',q) such that Zuckerman's derived functor (g,K)-module A_q(λ) for a θ-stable parabolic subalgebra q is discretely decomposable with res…