Mathematics – Algebraic Topology
Scientific paper
2010-08-04
Mathematics
Algebraic Topology
Scientific paper
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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