scientific article; zbMATH DE number 7700651

Publication date: 23 June 2023

Full work available at URL: https://arxiv.org/abs/2210.13146

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

multiplicity reductive group minimal representation visible action symmetric pair branching problem spherical variety

Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Singular conformally invariant trilinear forms. I: The multiplicity one theorem
On the degenerate principal series of complex symplectic groups
Classification of visible actions on flag varieties
Classification of discretely decomposable \(A_{\mathfrak q}(\lambda)\) with respect to reductive symmetric pairs
Geometric analysis on small unitary representations of \(\text{GL}(N, \mathbb R)\)
Multiplicity one theorems: the Archimedean case
Paracomplex structures and affine symmetric spaces
On the associated variety of a primitive ideal
Invariant differential operators on a semisimple symmetric space and finite multiplicities in a Plancherel formula
Multiplicity free subgroups of compact connected Lie groups
Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support
Geometric quantization of real minimal nilpotent orbits
On spherical double cones
Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups
Discrete decomposability of the restriction of \(A_{{\mathfrak q}}(\lambda)\) with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties
Analysis on the minimal representation of \(\mathrm O(p,q)\). II: Branching laws.
Multiplicity-free complex manifolds
Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules
Symmetry breaking for representations of rank one orthogonal groups. II
Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\)
Multiplicity in restricting small representations
Classification of finite-multiplicity symmetric pairs
Composition formulas in the Weyl calculus
Finite multiplicity theorems for induction and restriction
On orbits in double flag varieties for symmetric pairs
Visible actions on symmetric spaces
Classification of symmetric pairs with discretely decomposable restrictions of \((\mathfrak{g},K)\)-modules
Multiplicity-free representations and visible actions on complex manifolds
Classification of minimal representations of real simple Lie groups
A program for branching problems in the representation theory of real reductive groups
Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs
Branching problems of Zuckerman derived functor modules
Les espaces symétriques noncompacts
The minimal orbit in a simple Lie algebra and its associated maximal ideal
A Singular Representation of E 6
Bounded multiplicity theorems for induction and restriction
A generalization of the Kobayashi–Oshima uniformly bounded multiplicity theorem
Smallest complex nilpotent orbits with real points
Shintani Functions, Real Spherical Manifolds, and Symmetry Breaking Operators
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability