The Fubini Theorem for Normal Lie Subgroups of Index 2n
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | Portuguese |
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Universidade Federal de Roraima, Centro de Ciência e Tecnologia
2023-04-01
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| Series: | RCT: Revista de Ciência e Tecnologia |
| Online Access: | https://revista.ufrr.br/rct/article/view/5911 |
| _version_ | 1797371053898465280 |
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| author | Leandro Nery de Oliveira Marcos Aurélio de Alcântara |
| author_facet | Leandro Nery de Oliveira Marcos Aurélio de Alcântara |
| author_sort | Leandro Nery de Oliveira |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T18:13:20Z |
| format | Article |
| id | doaj.art-10ad2a51b94b456a85c8d2ade1328ce5 |
| institution | Directory Open Access Journal |
| issn | 2447-7028 |
| language | Portuguese |
| last_indexed | 2024-03-08T18:13:20Z |
| publishDate | 2023-04-01 |
| publisher | Universidade Federal de Roraima, Centro de Ciência e Tecnologia |
| record_format | Article |
| series | RCT: Revista de Ciência e Tecnologia |
| spelling | doaj.art-10ad2a51b94b456a85c8d2ade1328ce52023-12-31T16:51:15ZporUniversidade Federal de Roraima, Centro de Ciência e TecnologiaRCT: Revista de Ciência e Tecnologia2447-70282023-04-01910.18227/2447-7028rct.v959114672The Fubini Theorem for Normal Lie Subgroups of Index 2nLeandro Nery de Oliveira0Marcos Aurélio de Alcântara1Universidade Federal de São CarlosUniversidade Federal do AcreIn 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.https://revista.ufrr.br/rct/article/view/5911 |
| spellingShingle | Leandro Nery de Oliveira Marcos Aurélio de Alcântara The Fubini Theorem for Normal Lie Subgroups of Index 2n RCT: Revista de Ciência e Tecnologia |
| title | The Fubini Theorem for Normal Lie Subgroups of Index 2n |
| title_full | The Fubini Theorem for Normal Lie Subgroups of Index 2n |
| title_fullStr | The Fubini Theorem for Normal Lie Subgroups of Index 2n |
| title_full_unstemmed | The Fubini Theorem for Normal Lie Subgroups of Index 2n |
| title_short | The Fubini Theorem for Normal Lie Subgroups of Index 2n |
| title_sort | fubini theorem for normal lie subgroups of index 2n |
| url | https://revista.ufrr.br/rct/article/view/5911 |
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