par De Vos, Koos;Van Driel, Peter 
Référence Journal of mathematical physics, 37, 7, page (3587-3610)
Publication Publié, 1996-07
Référence Journal of mathematical physics, 37, 7, page (3587-3610)
Publication Publié, 1996-07
Article révisé par les pairs
| Résumé : | The main result in this paper is the character formula for arbitrary irreducible highest weight modules of Script W sign algebras. The key ingredient is the functor provided by quantum Hamiltonian reduction, which constructs the Script W sign algebras from affine Kac-Moody (KM) algebras and in a similar fashion Script W sign modules from KM modules. Assuming certain properties of this functor, the Script W sign characters are subsequently derived from the Kazhdan-Lusztig conjecture for KM algebras. The result can be formulated in terms of a double coset of the Weyl group of the KM algebra: the Hasse diagrams give the embedding diagrams of the Verma modules and the Kazhdan-Lusztig polynomials give the multiplicities in the characters. © 1996 American Institute of Physics. |
