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- W2022774828 abstract "The irreducibility of the energy representation of the group of smooth mappings from a Riemannian manifold of dimension d ⩾ 3 into a compact semisimple Lie group is proven. The nonequivalence of the representations associated with different Riemann structures is also proven for d ⩾ 3. The case d = 2 is examined and irreducibility and nonequivalence results are also given. The reducibility in the case d = 1 is pointed out (in this case the commutant contains a representation equivalent with the energy representation)." @default.
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- W2022774828 date "1981-05-01" @default.
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- W2022774828 title "Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group" @default.
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- W2022774828 doi "https://doi.org/10.1016/0022-1236(81)90082-3" @default.
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