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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Buildings as inner ideal geometries


Author: Meighan I. Dillon
Journal: Proc. Amer. Math. Soc. 123 (1995), 647-650
MSC: Primary 20E42; Secondary 17B67, 51B25
DOI: https://doi.org/10.1090/S0002-9939-1995-1264806-X
MathSciNet review: 1264806
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Abstract: We consider a Chevalley-type group $ G(V)$ associated to an integrable representation of a Kac-Moody algebra and show that the associated Kac-Moody group $ G(A)$ is a universal cover for $ G(V)$. This observation strengthens a result of Kac-Peterson on representations of $ G(A)$. It also implies that the building associated to an affine Lie algebra can be realized as an inner ideal geometry.


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DOI: https://doi.org/10.1090/S0002-9939-1995-1264806-X
Article copyright: © Copyright 1995 American Mathematical Society