A homotopy construction of the adjoint representation for Lie groups

Castellana Natàlia, Nitu Kitohloo

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

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 ℓ, hocolimℓBGI where GI are certain connected maximal rank subgroups of G. © 2002 Cambridge Philosophical Society.
Original languageEnglish
Pages (from-to)399-409
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume133
Issue number3
DOIs
Publication statusPublished - 1 Dec 2002

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