Journal of Lie Theory

Issue no. 1 Table of Contents

Note on the Publication Schedule of Volume 19 (2009)
p. 1-2
A Combinatorial Basis for the Free Lie Algebra of the Labelled Rooted Trees
p. 3-15
On Invariants of a Set of Elements of a Semisimple Lie Algebra
p. 17-30
Restrictions of Certain Degenerate Principal Series of the Universal Covering of the Symplectic Group
p. 31-48
On the Index of the Quotient of a Borel Subalgebra by an ad-Nilpotent Ideal
p. 49-63
Invariant Berezin Integration on Homogeneous Supermanifolds
p. 65-91
Unitary Loop Groups and Factorization
p. 93-112
Dunkl Operators on Rd and Uncentered Maximal Function
p. 113-125
A Symmetric Version of Kontsevich Graph Complex and Leibniz Homology
p. 127-165
Product Zero Derivations of the Parabolic Subalgebras of Simple Lie Algebras
p. 167-174
Geometry of the Borel-de Siebenthal Discrete Series
p. 175-212
Biographical Note on our Paper Entitled: Classifying Associative Quadratic Algebras of Characteristic not Two as Lie Algebras
p. 213

Issue no. 2 Table of Contents

Associative Geometries. I: Torsors, Linear Relations and Grassmannians
p. 215-252
Associative Geometries. II: Involutions, the Classical Torsors, and their Homotopes
p. 253-282
Homogeneous Toric Varieties
p. 283-293
Scalar Invariants on Special Spaces of Equiaffine Connections
p. 295-309
On "Axiom III" of Hilbert's Foundation of Geometries via Transformation Groups
p. 311-327
A Quantum Type Deformation of the Cohomology Ring of Flag Manifolds
p. 329-346
Locally Precompact Groups: (Local) Realcompactness and Connectedness
p. 347-374
On a Lie Group Characterization of Quasi-Local Symmetries of Nonlinear Evolution Equations
p. 375-392
Irreducible SLn+1--Representations Remain Indecomposable Restricted to Some Abelian Subalgebras
p. 393-407

Issue no. 3 Table of Contents

Conical Distributions on the Space of Flat Horocycles
p. 409-436
Compactification de Chabauty des Espaces Symétriques de Type Non Compact
p. 437-468
Conformal Actions on Homogeneous Lorentzian Manifolds
p. 469-481
Local and Global Aspects of Lie Superposition Theorem
p. 483-517
Globalizing Locally Compact Local Groups
p. 519-524
Graded Nilpotent Lie Algebras of Infinite Type
p. 525-541
Global Lie Symmetries of the Heat and Schrödinger Equation
p. 543-580
Bounded Simple (g, sl(2))-Modules for rk g = 2
p. 581-615

Issue no. 4 Table of Contents

Dirac Induction for Harish-Chandra Modules
p. 617-641
Harish Chandra Modules of Rank One Lie Groups with Admissible Restriction to Some Reductive Subgroup
p. 643-663
A Lie-Trotter Formula for Riemannian Manifolds and Applications
p. 665-672
Principal Basis in Cartan Subalgebra
p. 673-687
Classification of 8-Dimensional Compact Projective Planes
p. 689-708
The Component Group of the Automorphism Group of a Simple Lie Algebra and the Splitting of the Corresponding Short Exact Sequence
p. 709-737
The Lie Superalgebra of a Supermanifold
p. 739-749
A Sharp Criterion for the Existence of the Density in the Product Formula on Symmetric Spaces of Type An
p. 751-766
The Construction of Hom-Lie Bialgebras
p. 767-783
Degenerate Principal Series for the Exceptional p-adic Groups of type F4
p. 785-806