A homotopy construction of the adjoint representation for Lie groups
Copyright policy )A homotopy construction of the adjoint representation for Lie groups
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.
- Northwestern University United States
- Autonomous University of Barcelona Spain
adjoint representation, Lie groups, Homology of classifying spaces and characteristic classes in algebraic topology, Homology and homotopy of topological groups and related structures, Spectral sequences and homology of fiber spaces in algebraic topology
adjoint representation, Lie groups, Homology of classifying spaces and characteristic classes in algebraic topology, Homology and homotopy of topological groups and related structures, Spectral sequences and homology of fiber spaces in algebraic topology
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