(k,r)-admissible configurations and intertwining operators

Abstract

Certain combinatorial bases of Feigin-Stoyanovsky's type subspaces of level k standard modules for affine Lie algebra sl(r,C)\sptilde are parametrized by (k,r)-admissible configurations. In this note we use Capparelli-Lepowsky-Milas' method to give a new proof of linear independence of these bases, the main ingredient in the proof being the use of Dong-Lepowsky's intertwining operators for fundamental sl(r,C)\sptilde-modules.

10 pages, AMS-LaTeX

References in corpus (2)

• Simple currents and extensions of vertex operator algebras
• Quasi-particles models for the representations of Lie algebras and geometry of flag manifold

Cited by in corpus (2)

• Presentations of Principal Subspaces of Higher Level Standard $A_2^{(2)}$-Modules
• Principal subspaces for the quantum affine vertex algebra in type $A_1^{(1)}$