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References
R. Bott, An application of the Morse theory to the topology of Lie groups, Bull. Soc. Math. France 84(1956), 251–282.
R. Bott, The space of loops on a Lie group, Mich. Math. J. 5(1958), 35–61.
N. Bourbaki, Groupes et algébres de Lie, Ch. 4–6, Hermann (Paris) 1968.
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.
M. Hopkins, Thesis, Northwestern University, Evanston, Illinois, 1984.
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.
V. Kac and D. Peterson, Defining relations of certain infinite-dimensional groups, Asterisque, to appear.
V. Kac and D. Peterson, Infinite flag varieties and conjugacy theorems, Proc. Nat. Acad. Sci. 80(1983), 1778–1782.
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.
S. Mitchell, A filtration of the loops on SU(n) by Schubert varieties, to appear in Math. Zeit.
A.N. Pressley and G.B. Segal, Loop Groups, Oxford University Press, 1986.
R. Proctor, Bruhat lattices, plane partition generating functions, and miniscule representations, Europ. J. Combinatorics 5(1984), 331–350.
D. Quillen, unpublished work, 1975.
R. Steinberg, Lectures on Chevalley Groups, Yale University, 1967.
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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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