Fiebig P (2006)
Publication Type: Journal article
Publication year: 2006
Publisher: Springer Verlag (Germany)
Book Volume: 11
Pages Range: 29-49
Journal Issue: 1
DOI: 10.1007/s00031-005-1103-8
We show that the structure of a block outside the critical hyperplanes of category O over a symmetrizable Kac-Moody algebra depends only on the corresponding integral Weyl group and its action on the parameters of the Verma modules. This is done by giving a combinatorial description of the projective objects in the block. As an application, we derive the Kazhdan-Lusztig conjecture for nonintegral blocks from the integral case for finite or affine Weyl groups. We also prove the uniqueness of Verma embeddings outside the critical hyperplanes.
APA:
Fiebig, P. (2006). The Combinatorics of Category O over symmetrizable Kac-Moody Algebras. Transformation Groups, 11(1), 29-49. https://dx.doi.org/10.1007/s00031-005-1103-8
MLA:
Fiebig, Peter. "The Combinatorics of Category O over symmetrizable Kac-Moody Algebras." Transformation Groups 11.1 (2006): 29-49.
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