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arXiv · 1008.0816

A remark on the homotopy equivalence of SU_n and SL_nC

Juan Souto
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Abstract

Being a maximal compact subgroup of SL_nC, SU_n is a deformation retract of the former group. In this note we prove that, for sufficiently large n, there is no retraction of SL_nC to SU_n which preserves commutativity.

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Juan Souto. 2010-08-04. A remark on the homotopy equivalence of SU_n and SL_nC. https://arxiv.org/abs/1008.0816

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