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

Author(s): E. Sommers
Journal: Proc. Amer. Math. Soc. 125 (1997), 2481-2484.
MSC (1991): Primary 58B25
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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:

1.: A. Borel and J. C. Moore, Homology theory for locally compact spaces, Michigan Math. J. 7 (1960), 137-159. MR 24:A1123
2.: N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Inst. Hautes Etudes Sci. Publ. Math. 25 (1965), 5-48. MR 32:2486
3.: N. Jacobson, Lie Algebras, Dover Publications, Inc., New York, 1979, p. 100. MR 80k:17001
4.: V. Kac, Constructing groups associated to infinite-dimensional algebras, in Infinite Dimensional Groups with Applications, MSRI Publications, Springer-Verlag, Berlin, 1985, pp. 198-199.


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