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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The homology of the space of affine flags containing a nilpotent element
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by E. Sommers PDF
Proc. Amer. Math. Soc. 125 (1997), 2481-2484 Request permission

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
  • A. Borel and J. C. Moore, Homology theory for locally compact spaces, Michigan Math. J. 7 (1960), 137–159. MR 131271
  • N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of ${\mathfrak {p}}$-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 5–48. MR 185016
  • Nathan Jacobson, Lie algebras, Dover Publications, Inc., New York, 1979. Republication of the 1962 original. MR 559927
  • 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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Additional Information
  • E. Sommers
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • Email: esommers@math.mit.edu
  • 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
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2481-2484
  • MSC (1991): Primary 58B25
  • DOI: https://doi.org/10.1090/S0002-9939-97-03821-5
  • MathSciNet review: 1377007