Journal of Lie Theory

Issue no. 1 Table of Contents

Cartan Pairs and Shared Orbit Pairs
p. 1-31
Homogeneous Distributions on Finite Dimensional Vector Spaces
p. 33-41
Do n-Lie Algebras Have Universal Enveloping Algebras?
p. 43-55
Varieties of Elementary Subalgebras of Submaximal Rank in Type A
p. 57-70
On the Cuspidal Support of a Generic Representation
p. 71-78
On Integrable Modules for the Twisted Full Toroidal Lie Algebra
p. 79-105
The Geometry of the Osculating Nilpotent Group Structures of the Heisenberg Calculus
p. 107-138
On Self-Normalising Sylow 2-Subgroups in Type A
p. 139-168
The Non-Abelian Tensor and Exterior Products of Crossed Modules of Lie Algebras
p. 169-185
Cartan Decompositions and Semigroups of Simple Lie Groups
p. 187-210
On the Dolbeault-Dirac Operators on Quantum Projective Spaces
p. 211-244
Cohomological Laplace Transform on Non-convex Cones and Hardy Spaces of ∂-cohomology on Non-convex Tube Domains
p. 245-263
Classification of Spherical Algebraic Subalgebras of Real Simple Lie Algebras of Rank 1
p. 265-307

Issue no. 2 Table of Contents

Poisson Centralizer of the Trace
p. 309-322
The Orbit Method for the Baum-Connes Conjecture for Algebraic Groups over Local Function Fields
p. 323-341
Einstein Solvmanifolds and Two-Step Nilpotent Lie Algebras with a Special Nice Basis
p. 343-356
Structures of Nichols (Braided) Lie Algebras of Diagonal Type
p. 357-380
Représentations de Réduction Unipotente pour SO(2n+1), I: une Involution
p. 381-426
On Complemented Non-Abelian Chief Factors of a Lie Algebra
p. 427-442
Sous-Groupes Réductifs Canoniques des Sous-Groupes Biparaboliques de SO(n, C) ou SO(p, q) dont l'Algèbre de Lie est Quasi-Réductive
p. 443-477
Higher Order Riesz Transforms on Noncompact Symmetric Spaces
p. 479-497
Hawkins Compatibility Conditions on the Tangent Bundle of a Poisson-Lie Group
p. 499-524
The Universal Enveloping Algebra U(sl2 sdir V2), its Prime Spectrum and a Classification of its Simple Weight Modules
p. 525-560
Heisenberg Algebras from Division Algebras and Parabolic Subalgebras of Simple Lie Algebras
p. 561-575
A Simple Proof of Lie's Theorem
p. 577-579
A Characterization of the L2-Range of the Poisson Transform with Real and Singular Spectral Parameter on Symmetric Spaces of Noncompact Type
p. 581-607

Issue no. 3 Table of Contents

Harmonic Analysis for an Olshanski Pair Consisting of Stabilizers of the Horocycles of a Homogeneous Tree
p. 609-618
The Volume of Complete Anti-de Sitter 3-Manifolds
p. 619-642
Cyclic Orders Defined by Ordered Jordan Algebras
p. 643-661
Parity Preservation of K-Types under the Theta Correspondence
p. 663-672
Principal Subspaces for Double Yangian DY(sl2)
p. 673-694
Convolution of Orbital Measures on Complex Grassmannians
p. 695-710
Representations up to Homotopy from Weighted Lie Algebroids
p. 711-733
Universal Enveloping Algebras and Poincaré-Birkhoff-Witt Theorem for Involutive Hom-Lie Algebras
p. 735-756
Conformal Vector Fields on Lorentzian Lie Groups of Dimension 4
p. 757-765
Isometries of Sub-Riemannian Metrics Supported on Martinet Type Distributions
p. 767-780
The Use of Hopf Algebras in the Lie Theory of Loops Related to Reductive Homogeneous Spaces
p. 781-804
Characterization of the Lp-Range of the Poisson Transform on the Octonionic Hyperbolic Plane
p. 805-828
Cohomology of Coinvariant Differential Forms
p. 829-841
Lie Algebras Attached to Clifford Modules and Simple Graded Lie Algebras
p. 843-864
On Unitary Representations of Disconnected Real Reductive Groups
p. 865-884
Biderivations and Commuting Linear Maps on Lie Algebras
p. 885-900

Issue no. 4 Table of Contents

Thank you, Karl Heinrich Hofmann
p. 901
Category J Modules for Hamiltonian Vector Fields on a Torus
p. 903-914
Extending Generalized Spin Representations
p. 915-940
Monomial Bases and Pre-Lie Structure for Free Lie Algebras
p. 941-967
A Note on the Construction of Second-Order Conformally Invariant Systems on Generalized Flag Manifolds
p. 969-985
Representations Associated to Small Nilpotent Orbits for Real Spin Groups
p. 987-1042
Stratonovich-Weyl Correspondence for the Generalized Poincaré Group
p. 1043-1062
Polynomiality for the Poisson Centre of Truncated Maximal Parabolic Subalgebras
p. 1063-1094
Complex Groups and Root Subgroup Factorization
p. 1095-1118
Crystals from 5-Vertex Ice Models
p. 1119-1136
On Annihilators of Bounded (g, k)-Modules
p. 1137-1147
Singular BGG Complexes Over Isotropic 2-Grassmannian
p. 1149-1164
Galois Groups and Group Actions on Lie Algebras
p. 1165-1188
Codimension Growth of Solvable Lie Superalgebras
p. 1189-1199