Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-04-30
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
Given the interest in relating the large $N$ limit of SU(N) to groups of
area-preserving diffeomorphisms, we consider the topologies of these groups and
show that both in terms of homology and homotopy, they are extremely different.
Similar conclusions are drawn for other infinite dimensional classical groups.
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