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Algebraic Topology Barcelona 1986 pp 215–226Cite as

The bott filtration of a loop group

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1298))

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References

  1. R. Bott, An application of the Morse theory to the topology of Lie groups, Bull. Soc. Math. France 84(1956), 251–282.

    MathSciNet  MATH  Google Scholar 

  2. R. Bott, The space of loops on a Lie group, Mich. Math. J. 5(1958), 35–61.

    Article  MathSciNet  MATH  Google Scholar 

  3. N. Bourbaki, Groupes et algébres de Lie, Ch. 4–6, Hermann (Paris) 1968.

    Google Scholar 

  4. H. Garland and M.S. Ragunathan, A Bruhat decomposition for the loop space of a compact group: A new approach to results of Bott, Proc. Nat. Acad. Sci. USA 72(1975), 4716–4717.

    Article  MathSciNet  MATH  Google Scholar 

  5. M. Hopkins, Thesis, Northwestern University, Evanston, Illinois, 1984.

    Google Scholar 

  6. N. Iwahori and M. Matsumoto, On some Bruhat decomposition and the structure of Hecke rings of p-adic Chevalley groups, Publ. Math. I.H.E.S. 25(1965), 5–48.

    Article  MathSciNet  MATH  Google Scholar 

  7. V. Kac and D. Peterson, Defining relations of certain infinite-dimensional groups, Asterisque, to appear.

    Google Scholar 

  8. V. Kac and D. Peterson, Infinite flag varieties and conjugacy theorems, Proc. Nat. Acad. Sci. 80(1983), 1778–1782.

    Article  MathSciNet  MATH  Google Scholar 

  9. V. Kac and D. Peterson, Regular functions on certain infinite-dimensional groups, in Arithmetic and Geometry, v. 2 (M. Artin and J. Tate, Eds.), Johns Hopkins University Press (1979), 141–166.

    Google Scholar 

  10. S. Mitchell, A filtration of the loops on SU(n) by Schubert varieties, to appear in Math. Zeit.

    Google Scholar 

  11. A.N. Pressley and G.B. Segal, Loop Groups, Oxford University Press, 1986.

    Google Scholar 

  12. R. Proctor, Bruhat lattices, plane partition generating functions, and miniscule representations, Europ. J. Combinatorics 5(1984), 331–350.

    Article  MathSciNet  MATH  Google Scholar 

  13. D. Quillen, unpublished work, 1975.

    Google Scholar 

  14. R. Steinberg, Lectures on Chevalley Groups, Yale University, 1967.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Washington, 98195, Seattle, Washington

    S. A. Mitchell

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  1. S. A. Mitchell
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J. Aguadé R. Kane

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© 1987 Springer-Verlag

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Mitchell, S.A. (1987). The bott filtration of a loop group. In: Aguadé, J., Kane, R. (eds) Algebraic Topology Barcelona 1986. Lecture Notes in Mathematics, vol 1298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083012

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  • DOI: https://doi.org/10.1007/BFb0083012

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18729-5

  • Online ISBN: 978-3-540-48122-5

  • eBook Packages: Springer Book Archive

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