Leandro Nery De Oliveira, Marcos Aurélio De Alcântara
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The Fubini's Theorem for the Even Index Lie Subgroup
In this paper we present a new proof to generalize the Fubini's Theorem for the even index subgroup of a compact Lie group, using a recent result on the semi-direct product of groups. We also present some applications of this result for the invariant theory.