We study the homotopy and homology of Lie groups. Reading list:
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Mamoru Mimura and Hirosi Toda, Topology of Lie groups, I and II, Translations of Mathematical Monographs, vol 91, American Mathematical Society, Providence, RI, 1991.
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Theodor Bröcker and Tammo tom Dieck, Representations of compact Lie groups, Graduate Texts in Mathematics, vol. 98, Springer-Verlag, New York, 1995.
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Dale Husemoller, Fibre bundles, Third edition, Graduate Texts in Mathematics, vol 20, Springer-Verlag, New York, 1994.
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George W. Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics, vol 61, Springer-Verlag, New York-Berlin, 1978.
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