A Class of Non-Standard Modules for Affine Lie Algebras.
A classification of multiplicity free representations.
A description of discrete series using step algebras.
A generalization of the Enright-Varadarajan modules
A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras.
A Multiplicity One Theorem for Holomorphically Induced Representations.
A new Family of Irreducible, Integrable Modules for Affine Lie Algebras.
A real analog of Kostant's version of the Bott-Borel-Weil theorem.
A refinement of the PRV conjecture.
A saturation property for powers of irreducible characters.
A surjectivity theorem for rigid highest weight modules.
Affine Lie algebras and modular forms
Affine quivers and canonical bases
Algebraic integrability of Schrodinger operators and representations of Lie algebras
An Algebraic Construction of a Class of Representations of a Semi-Simple Lie Algebra.
An algebraic proof of the PRV conjecture for very regular weights.
An almost-integral universal Vassiliev invariant of knots.
An equivalence between categories of modules for generalized Kac-Moody Lie algebras.
An intrinsic analysis of unitarizable highest weight modules.
An overview of free nilpotent Lie algebras
Any nilpotent Lie algebra is a quotient of a free nilpotent Lie algebra of the same nilindex and type. In this paper we review some nice features of the class of free nilpotent Lie algebras. We will focus on the survey of Lie algebras of derivations and groups of automorphisms of this class of algebras. Three research projects on nilpotent Lie algebras will be mentioned.