Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
From MaRDI portal
Publication:1173170
DOI10.1007/BF01106156zbMath0503.22011MaRDI QIDQ1173170
Publication date: 1982
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
invariant convex conesholomorphic representationscontractions in a Hilbert spacefinite- dimensional classical groupsLie semigroups with involution
Representations of general topological groups and semigroups (22A25) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Lie algebras of Lie groups (22E60) Other representations of locally compact groups (22D12)
Related Items
Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space, On Sophus Lie's fundamental theorem, Old and new on Sl(2), Spherical functions on ordered symmetric spaces, Holomorphic representation theory. II, Holomorphic representation theory. I, Maximality of compression semigroups, Compression semigroups on open orbits on real flag manifolds, Invariant cones in Lie algebras, Maximal semigroups and controllability in products of Lie groups, Introduction to coherent quantization, Invariant Lorentzian orders on simply connected Lie groups, Free local semigroup constructions, A survey on paracomplex geometry, Compression semigroups of open orbits in complex manifolds, A note on Howe's oscillator semigroup, Singular unitary highest weight representations via geometric quantization, Modular geodesics and wedge domains in non-compactly causal symmetric spaces, Quantization of Gaussians, Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum, On Ol'shanskiĭ's semigroup, Split quaternionic analysis and separation of the series for \(\mathrm{SL}(2,\mathbb R)\) and \(\mathrm{SL}(2,\mathbb C)/\mathrm{SL}(2,\mathbb R)\), Harmonic analysis on spannors, Globality in semisimple Lie groups, Maximal subsemigroups of Lie groups that are total, Infinitesimally generated subsemigroups of motion groups, Conal orders on homogeneous spaces, Unnamed Item, The Plancherel theorem for biinvariant Hilbert spaces, Invariant analytic domains in complex semisimple groups, Monotone functions on symmetric spaces, Errata to: ``Infinitesimally generated subsemigroups of motion groups, On wedges in Lie triple systems and ordered symmetric spaces, Grigori Iosifovich Olshanski, Noyau de Cauchy-Szegö d'un espace symétrique de type Cayley. (Cauchy-Szegö kernel of a symmetric space of Cayley type.), Unitary representations of Lie groups with reflection symmetry, Function spaces on the Ol'shanskiĭ semigroup and the Gel'fand-Gindikin program, Weighted Bergman spaces and the holomorphic discrete series of \(\widetilde{U(p,q)}\), Compactly embedded Cartan algebras and invariant cones in Lie algebras, The compression semigroup of the dual Vinberg cone, Lie semigroup associated to the symmetric cone, Lie semialgebras are real phenomena, Analysis in space-time bundles. III: Higher spin bundles, Ol'shanskiĭ wedges in symmetric Lie algebras, Lorentzian cones in real Lie algebras, Symmetric spaces of Hermitian type, Complex Lie semigroups, Hardy spaces and the Gel'fand-Gindikin program, Laguerre semigroup and Dunkl operators, Representations of involutive semigroups, Lie theory for semigroups, On closedness and simple connectedness of adjoint and coadjoint orbits
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic vectors
- Orbits on affine symmetric spaces under the action of the isotropy subgroups
- Invariant convex cones and orderings in Lie groups
- Positive operators and automorphism groups of bounded symmetric domains
- On the Segal-Shale-Weil representations and harmonic polynomials
- Les sous-algèbres de Cartan réelles et la frontière d'une orbite ouverte dans une variété de drapeaux
- The representations of the oscillator group
- Representations of Semisimple Lie Groups IV
- Exceptional Lie algebras and the structure of Hermitian symmetric spaces
- Transformation Groups on Compact Symmetric Spaces
