2005/12/21 by Mirko Primc, Primc, Mirko
Mathematics · #05A19 (Secondary) #17B67 (Primary) 17B69 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:05A19 #msc:17B67 #msc:17B69
paper · pdf · doi:10.48550/arxiv.math/0512491
10 pages, AMS-LaTeX
arxiv created 2005/12/21 · arxiv updated 2009/12/01
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.