Deformations of Modules of Differential Forms
We study non-trivial deformations of the natural action of the Lie algebra Vect(ℝ n ) on the space of differential forms on ℝ n . We calculate abstractions for integrability of infinitesimal multi-parameter deformations and determine the commutative associative algebra corresponding to the miniversa...
Gespeichert in:
Veröffentlicht in: | Journal of nonlinear mathematical physics 2003, Vol.10 (2), p.148-156 |
---|---|
Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 156 |
---|---|
container_issue | 2 |
container_start_page | 148 |
container_title | Journal of nonlinear mathematical physics |
container_volume | 10 |
creator | Agrebaoui, B Ammar, M Ben Fraj, N Ben Ovsienko, V |
description | We study non-trivial deformations of the natural action of the Lie algebra Vect(ℝ
n
) on the space of differential forms on ℝ
n
. We calculate abstractions for integrability of infinitesimal multi-parameter deformations and determine the commutative associative algebra corresponding to the miniversal deformation in the sense of [3]. |
doi_str_mv | 10.2991/jnmp.2003.10.2.3 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2916534941</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2916534941</sourcerecordid><originalsourceid>FETCH-LOGICAL-c363t-3894731c1b0078fd73aacc11e28fa4f8e2f98fd35248507dc0b8eab7311353033</originalsourceid><addsrcrecordid>eNp1kEFLxDAQhYMouK7ePRY8tyaZtknwJLvuKqx40XNI0wRa2qYmXWT_vWnXq6d5PL43wzyE7gnOqBDksR36MaMYQzY7GVygFWGsTDEv6GXUOaapoAW5RjchtJFjJecrlG6Ndb5XU-OGkDibvLv62JlFbhtrjTfD1Kgu2UUq3KIrq7pg7v7mGn3tXj43r-nhY_-2eT6kGkqYUuAiZ0A0qTBm3NYMlNKaEEO5VbnlhloRbShozgvMao0rblQVIwQKwABr9HDeO3r3fTRhkq07-iGelFSQsoBc5CRS-Exp70LwxsrRN73yJ0mwnEuRcylyLmVx5Lz46RxphuXtH-e7Wk7q1DlvvRp0EyT8m_4FOL1oWQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2916534941</pqid></control><display><type>article</type><title>Deformations of Modules of Differential Forms</title><source>SpringerLink Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Agrebaoui, B ; Ammar, M Ben ; Fraj, N Ben ; Ovsienko, V</creator><creatorcontrib>Agrebaoui, B ; Ammar, M Ben ; Fraj, N Ben ; Ovsienko, V</creatorcontrib><description>We study non-trivial deformations of the natural action of the Lie algebra Vect(ℝ
n
) on the space of differential forms on ℝ
n
. We calculate abstractions for integrability of infinitesimal multi-parameter deformations and determine the commutative associative algebra corresponding to the miniversal deformation in the sense of [3].</description><identifier>ISSN: 1402-9251</identifier><identifier>ISSN: 1776-0852</identifier><identifier>EISSN: 1776-0852</identifier><identifier>DOI: 10.2991/jnmp.2003.10.2.3</identifier><language>eng</language><publisher>Singapore: Taylor & Francis Group</publisher><subject>Deformation ; Lie groups</subject><ispartof>Journal of nonlinear mathematical physics, 2003, Vol.10 (2), p.148-156</ispartof><rights>Copyright Taylor & Francis Group, LLC 2003</rights><rights>B Agrebaoui, M Ben Ammar, N Ben Fraj and V Ovsienko 2003. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c363t-3894731c1b0078fd73aacc11e28fa4f8e2f98fd35248507dc0b8eab7311353033</citedby><cites>FETCH-LOGICAL-c363t-3894731c1b0078fd73aacc11e28fa4f8e2f98fd35248507dc0b8eab7311353033</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,4010,27900,27901,27902</link.rule.ids></links><search><creatorcontrib>Agrebaoui, B</creatorcontrib><creatorcontrib>Ammar, M Ben</creatorcontrib><creatorcontrib>Fraj, N Ben</creatorcontrib><creatorcontrib>Ovsienko, V</creatorcontrib><title>Deformations of Modules of Differential Forms</title><title>Journal of nonlinear mathematical physics</title><description>We study non-trivial deformations of the natural action of the Lie algebra Vect(ℝ
n
) on the space of differential forms on ℝ
n
. We calculate abstractions for integrability of infinitesimal multi-parameter deformations and determine the commutative associative algebra corresponding to the miniversal deformation in the sense of [3].</description><subject>Deformation</subject><subject>Lie groups</subject><issn>1402-9251</issn><issn>1776-0852</issn><issn>1776-0852</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNp1kEFLxDAQhYMouK7ePRY8tyaZtknwJLvuKqx40XNI0wRa2qYmXWT_vWnXq6d5PL43wzyE7gnOqBDksR36MaMYQzY7GVygFWGsTDEv6GXUOaapoAW5RjchtJFjJecrlG6Ndb5XU-OGkDibvLv62JlFbhtrjTfD1Kgu2UUq3KIrq7pg7v7mGn3tXj43r-nhY_-2eT6kGkqYUuAiZ0A0qTBm3NYMlNKaEEO5VbnlhloRbShozgvMao0rblQVIwQKwABr9HDeO3r3fTRhkq07-iGelFSQsoBc5CRS-Exp70LwxsrRN73yJ0mwnEuRcylyLmVx5Lz46RxphuXtH-e7Wk7q1DlvvRp0EyT8m_4FOL1oWQ</recordid><startdate>2003</startdate><enddate>2003</enddate><creator>Agrebaoui, B</creator><creator>Ammar, M Ben</creator><creator>Fraj, N Ben</creator><creator>Ovsienko, V</creator><general>Taylor & Francis Group</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>JQ2</scope></search><sort><creationdate>2003</creationdate><title>Deformations of Modules of Differential Forms</title><author>Agrebaoui, B ; Ammar, M Ben ; Fraj, N Ben ; Ovsienko, V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-3894731c1b0078fd73aacc11e28fa4f8e2f98fd35248507dc0b8eab7311353033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Deformation</topic><topic>Lie groups</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Agrebaoui, B</creatorcontrib><creatorcontrib>Ammar, M Ben</creatorcontrib><creatorcontrib>Fraj, N Ben</creatorcontrib><creatorcontrib>Ovsienko, V</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Computer Science Collection</collection><jtitle>Journal of nonlinear mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Agrebaoui, B</au><au>Ammar, M Ben</au><au>Fraj, N Ben</au><au>Ovsienko, V</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Deformations of Modules of Differential Forms</atitle><jtitle>Journal of nonlinear mathematical physics</jtitle><date>2003</date><risdate>2003</risdate><volume>10</volume><issue>2</issue><spage>148</spage><epage>156</epage><pages>148-156</pages><issn>1402-9251</issn><issn>1776-0852</issn><eissn>1776-0852</eissn><abstract>We study non-trivial deformations of the natural action of the Lie algebra Vect(ℝ
n
) on the space of differential forms on ℝ
n
. We calculate abstractions for integrability of infinitesimal multi-parameter deformations and determine the commutative associative algebra corresponding to the miniversal deformation in the sense of [3].</abstract><cop>Singapore</cop><pub>Taylor & Francis Group</pub><doi>10.2991/jnmp.2003.10.2.3</doi><tpages>9</tpages><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1402-9251 |
ispartof | Journal of nonlinear mathematical physics, 2003, Vol.10 (2), p.148-156 |
issn | 1402-9251 1776-0852 1776-0852 |
language | eng |
recordid | cdi_proquest_journals_2916534941 |
source | SpringerLink Journals; EZB-FREE-00999 freely available EZB journals |
subjects | Deformation Lie groups |
title | Deformations of Modules of Differential Forms |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-04T23%3A40%3A00IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Deformations%20of%20Modules%20of%20Differential%20Forms&rft.jtitle=Journal%20of%20nonlinear%20mathematical%20physics&rft.au=Agrebaoui,%20B&rft.date=2003&rft.volume=10&rft.issue=2&rft.spage=148&rft.epage=156&rft.pages=148-156&rft.issn=1402-9251&rft.eissn=1776-0852&rft_id=info:doi/10.2991/jnmp.2003.10.2.3&rft_dat=%3Cproquest_cross%3E2916534941%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2916534941&rft_id=info:pmid/&rfr_iscdi=true |