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The Kazhdan-Lusztig conjecture for W-algebras | Koos de Vos
; Peter van Driel
; | Date: |
4 Aug 1995 | Subject: | hep-th | Abstract: | The main result in this paper is the character formula for arbitrary irreducible highest weight modules of W algebras. The key ingredient is the functor provided by quantum Hamiltonian reduction, that constructs the W algebras from affine Kac-Moody algebras and in a similar fashion W modules from KM modules. Assuming certain properties of this functor, the W 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. | Source: | arXiv, hep-th/9508020 | Services: | Forum | Review | PDF | Favorites |
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