Stable splittings, spaces of representations and almost commuting elements in Lie groups-Reference-Cited by-同舟云学术

Stable splittings, spaces of representations and almost commuting elements in Lie groups

Published:2010-06-03 Issue:3 Volume:149 Page:455-490
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

ADEM ALEJANDRO,COHEN FREDERICK R.,GÓMEZ JOSÉ MANUEL

Abstract

AbstractIn this paper the space of almost commuting elements in a Lie group is studied through a homotopical point of view. In particular a stable splitting after one suspension is derived for these spaces and their quotients under conjugation. A complete description for the stable factors appearing in this splitting is provided for compact connected Lie groups of rank one. By using symmetric products, the colimits Rep(ℤn, SU), Rep(ℤn, U) and Rep(ℤn, Sp) are explicitly described as finite products of Eilenberg–MacLane spaces.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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