1995/08/04 by Koos de Vos, Peter van Driel
Mathematics 路 Physics and Astronomy 路 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #hep-th
paper 路 pdf 路 doi:10.1063/1.531584
uuencoded file, 29 pages latex, 5 figures
arxiv created 1995/08/04 路 openalex publication_date 1996/07/01 路 arxiv updated 2009/11/30 路 openalex created_date 2016/06/24 路 openalex updated_date 2026/07/28
The main result in this paper is the character formula for arbitrary irreducible highest weight modules of 饾挷 algebras. The key ingredient is the functor provided by quantum Hamiltonian reduction, which constructs the 饾挷 algebras from affine Kac鈥揗oody (KM) algebras and in a similar fashion 饾挷 modules from KM modules. Assuming certain properties of this functor, the 饾挷 characters are subsequently derived from the Kazhdan鈥揕usztig 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鈥揕usztig polynomials give the multiplicities in the characters.