(k,r)-admissible configurations and intertwining operators
Quantum Algebra
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0512491,
title = {(k,r)-admissible configurations and intertwining operators},
author = {Mirko Primc},
journal= {arXiv preprint arXiv:math/0512491},
year = {2007}
}
Comments
10 pages, AMS-LaTeX