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The combinatorics of category O for symmetrizable Kac-Moody algebras

Peter Fiebig
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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.

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Peter Fiebig. 2004-02-25. The combinatorics of category O for symmetrizable Kac-Moody algebras. https://arxiv.org/abs/math/0305378

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