Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds

Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds

We give a coadjoint orbit's diffeomorphic deformation between the classical semisimple case and the semi-direct product given by a Cartan decomposition. The two structures admit the Hermitian symplectic form defined in a semisimple complex Lie algebra. We provide some applications such as the c...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2020-07
Hauptverfasser: Báez, Jhoan, Luiz A B San Martin
Format: Artikel
Sprache:eng
Schlagworte:
Deformation
Lie groups
Manifolds (mathematics)
Mathematics - Differential Geometry
Mathematics - Symplectic Geometry
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Báez, Jhoan
Luiz A B San Martin
description We give a coadjoint orbit's diffeomorphic deformation between the classical semisimple case and the semi-direct product given by a Cartan decomposition. The two structures admit the Hermitian symplectic form defined in a semisimple complex Lie algebra. We provide some applications such as the constructions of Lagrangian submanifolds.
doi_str_mv 10.48550/arxiv.2007.14541
format Article
fullrecord <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2007_14541</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2428784167</sourcerecordid><originalsourceid>FETCH-LOGICAL-a527-1aff0f0b2144e1a974e493bf53b2538724a5152284ac9bd89f2e7087b558e0983</originalsourceid><addsrcrecordid>eNotj01LAzEURYMgWGp_gCsDrqcmL0mTWZb6CQNuitvhxUlKykxSkxnRf29tXd3FPVzuIeSGs6U0SrF7zN_hawmM6SWXSvILMgMheGUkwBVZlLJnjMFKg1JiRt4fnE95wDGkWGjydN3tU4gjTdmGsdBjSYsbQgnDoXe0CY5iv3M2Y6EYO9rgLmPcBYy0THbAGHzqu3JNLj32xS3-c062T4_bzUvVvD2_btZNhQp0xdF75pkFLqXjWGvpZC2sV8KCEkaDRMUVgJH4UdvO1B6cZkZbpYxjtRFzcnuePUm3hxwGzD_tn3x7kj8Sd2fikNPn5MrY7tOU4_FTCxKMNpKvtPgF4-xcZw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2428784167</pqid></control><display><type>article</type><title>Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Báez, Jhoan ; Luiz A B San Martin</creator><creatorcontrib>Báez, Jhoan ; Luiz A B San Martin</creatorcontrib><description>We give a coadjoint orbit's diffeomorphic deformation between the classical semisimple case and the semi-direct product given by a Cartan decomposition. The two structures admit the Hermitian symplectic form defined in a semisimple complex Lie algebra. We provide some applications such as the constructions of Lagrangian submanifolds.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2007.14541</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Deformation ; Lie groups ; Manifolds (mathematics) ; Mathematics - Differential Geometry ; Mathematics - Symplectic Geometry</subject><ispartof>arXiv.org, 2020-07</ispartof><rights>2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27904</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.2007.14541$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1016/j.difgeo.2021.101719$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Báez, Jhoan</creatorcontrib><creatorcontrib>Luiz A B San Martin</creatorcontrib><title>Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds</title><title>arXiv.org</title><description>We give a coadjoint orbit's diffeomorphic deformation between the classical semisimple case and the semi-direct product given by a Cartan decomposition. The two structures admit the Hermitian symplectic form defined in a semisimple complex Lie algebra. We provide some applications such as the constructions of Lagrangian submanifolds.</description><subject>Deformation</subject><subject>Lie groups</subject><subject>Manifolds (mathematics)</subject><subject>Mathematics - Differential Geometry</subject><subject>Mathematics - Symplectic Geometry</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotj01LAzEURYMgWGp_gCsDrqcmL0mTWZb6CQNuitvhxUlKykxSkxnRf29tXd3FPVzuIeSGs6U0SrF7zN_hawmM6SWXSvILMgMheGUkwBVZlLJnjMFKg1JiRt4fnE95wDGkWGjydN3tU4gjTdmGsdBjSYsbQgnDoXe0CY5iv3M2Y6EYO9rgLmPcBYy0THbAGHzqu3JNLj32xS3-c062T4_bzUvVvD2_btZNhQp0xdF75pkFLqXjWGvpZC2sV8KCEkaDRMUVgJH4UdvO1B6cZkZbpYxjtRFzcnuePUm3hxwGzD_tn3x7kj8Sd2fikNPn5MrY7tOU4_FTCxKMNpKvtPgF4-xcZw</recordid><startdate>20200729</startdate><enddate>20200729</enddate><creator>Báez, Jhoan</creator><creator>Luiz A B San Martin</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20200729</creationdate><title>Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds</title><author>Báez, Jhoan ; Luiz A B San Martin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a527-1aff0f0b2144e1a974e493bf53b2538724a5152284ac9bd89f2e7087b558e0983</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Deformation</topic><topic>Lie groups</topic><topic>Manifolds (mathematics)</topic><topic>Mathematics - Differential Geometry</topic><topic>Mathematics - Symplectic Geometry</topic><toplevel>online_resources</toplevel><creatorcontrib>Báez, Jhoan</creatorcontrib><creatorcontrib>Luiz A B San Martin</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Báez, Jhoan</au><au>Luiz A B San Martin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds</atitle><jtitle>arXiv.org</jtitle><date>2020-07-29</date><risdate>2020</risdate><eissn>2331-8422</eissn><abstract>We give a coadjoint orbit's diffeomorphic deformation between the classical semisimple case and the semi-direct product given by a Cartan decomposition. The two structures admit the Hermitian symplectic form defined in a semisimple complex Lie algebra. We provide some applications such as the constructions of Lagrangian submanifolds.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2007.14541</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2020-07
issn 2331-8422
language eng
recordid cdi_arxiv_primary_2007_14541
source arXiv.org; Free E- Journals
subjects Deformation
Lie groups
Manifolds (mathematics)
Mathematics - Differential Geometry
Mathematics - Symplectic Geometry
title Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-27T16%3A37%3A21IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Deformations%20of%20Adjoint%20orbits%20for%20semisimple%20Lie%20algebras%20and%20Lagrangian%20submanifolds&rft.jtitle=arXiv.org&rft.au=B%C3%A1ez,%20Jhoan&rft.date=2020-07-29&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2007.14541&rft_dat=%3Cproquest_arxiv%3E2428784167%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2428784167&rft_id=info:pmid/&rfr_iscdi=true