Combinatorial Constructions of Modules for Innnite-dimensional Lie Algebras, I. Principal Subspace


This is the rst of a series of papers studying combinatorial (with no \subtrac-tions") bases and characters of standard modules for aane Lie algebras, as well as various subspaces and coset spaces of these modules. In part I we consider the standard modules for the aane Lie algebra ^ g; g := sl(n + 1; C); n 1; at any positive integral level k and construct… (More)