(k,r)-admissible configurations and intertwining operators

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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

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Quantum Algebra, 17B67 (Primary) 17B69, 05A19 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/106335

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512491
 http://arxiv.org/abs/math/0512491

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arXiv