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The combinatorics of category O for symmetrizable Kac-Moody algebras | | Peter Fiebig
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27 May 2003 | | Subject: | Representation Theory | math.RT | | Abstract: | We show that the structure of blocks outside the critical hyperplanes of category O over any symmetrizable Kac-Moody algebra depends only on the corresponding integral Weyl group and its action on the parameters of the Verma modules by giving a combinatorial description of the projective objects. As an application we derive the Kazhdan-Lusztig conjecture for non-integral blocks from the integral case in finite and affine situations. | | Source: | arXiv, math.RT/0305378 | | Services: | Forum | Review | PDF | Favorites | |
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