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A homotopy construction of the adjoint representation for Lie groups

Published online by Cambridge University Press:  06 November 2002

NATÀLIA CASTELLANA  and
NITU KITCHLOO
NATÀLIA CASTELLANA
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain. e-mail: natalia@mat.uab.es
NITU KITCHLOO
Affiliation:
Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston IL 602010, U.S.A. e-mail: nitu@math.nwu.edu
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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 [Cscr ], hocolim[Cscr ]BGI where GI are certain connected maximal rank subgroups of G.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 133 , Issue 3 , November 2002 , pp. 399 - 409
Copyright
© 2002 Cambridge Philosophical Society

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