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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The homology of the space of affine flags containing a nilpotent element


Author: E. Sommers
Journal: Proc. Amer. Math. Soc. 125 (1997), 2481-2484
MSC (1991): Primary 58B25
MathSciNet review: 1377007
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Abstract: We show that the homology of the space of Iwahori subalgebras containing a nilpotent element of a split semisimple Lie algebra over $ \mathbf {C}((\varepsilon )) $ is isomorphic to the homology of the entire affine flag manifold.


References [Enhancements On Off] (What's this?)

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  • 2. N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of 𝔭-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 5–48. MR 0185016 (32 #2486)
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Additional Information

E. Sommers
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: esommers@math.mit.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03821-5
PII: S 0002-9939(97)03821-5
Keywords: Affine flag manifolds
Received by editor(s): December 20, 1995
Received by editor(s) in revised form: February 12, 1996
Additional Notes: Research supported by the NSF
Communicated by: Roe W. Goodman
Article copyright: © Copyright 1997 American Mathematical Society