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A homotopy construction of the adjoint representation for Lie groups
Published online by Cambridge University Press: 06 November 2002
Abstract
Let G be a compact, simply-connected, simple Lie group and T ⊂ G a maximal torus. The purpose of this paper is to study the connection between various fibrations over BG (where G is a compact, simply-connected, simple Lie group) associated to the adjoint representation and homotopy colimits over poset categories [Cscr ], hocolim[Cscr ]BGI where GI are certain connected maximal rank subgroups of G.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 133 , Issue 3 , November 2002 , pp. 399 - 409
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- © 2002 Cambridge Philosophical Society
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