On Extensions of Representations for Compact Lie Groups
نویسندگان
چکیده
In this paper we study G-extensions of real and complex representations of a closed normal subgroup H of a compact Lie group G when G/H is connected. The main result gives a necessary and sufficient condition for every complex irreducible H-module to extend to a G-module. In particular, we show that every complex Hmodule extends to a G-module if the fundamental group of G/H is torsion free. We also treat the cases when G/H is a finite cyclic or dihedral group.
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