The Fubini Theorem for Normal Lie Subgroups of Index 2n

Authors

DOI:

https://doi.org/10.18227/2447-7028rct.v95911

Abstract

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.

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Author Biographies

Leandro Nery de Oliveira, Universidade Federal de São Carlos

Professor Adjunto da Universidade Federal de São Carlos, doutor em matemática pelo ICMC-USP.

Marcos Aurélio de Alcântara, Universidade Federal do Acre

Professor Adjunto da Universidade Federal do Acre, doutor em matemática pela UFAM/UFPA.

Published

29/04/2023

Issue

Section

Mathematics, Physics, Chemistry, and their applications