A homotopy construction of the adjoint representation for Lie groups (2000)
by
Natàlia Castellana
BibTeX
@MISC{Castellana00ahomotopy,
author = {Natàlia Castellana},
title = {A homotopy construction of the adjoint representation for Lie groups},
year = {2000}
}
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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 �, hocolim�BGI where GI are certain connected maximal rank subgroups of G. 1.
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