L(Infinity) Structures on Spaces of Low Dimension

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dc.contributor.advisor Kailash Misra, Committee Member en_US
dc.contributor.advisor Ron Fulp, Committee Member en_US
dc.contributor.advisor Jim Stasheff, Committee Member en_US
dc.contributor.advisor Tom Lada, Committee Chair en_US
dc.contributor.author Daily, Marilyn Elizabeth en_US
dc.date.accessioned 2010-04-02T19:10:56Z
dc.date.available 2010-04-02T19:10:56Z
dc.date.issued 2004-04-14 en_US
dc.identifier.other etd-04132004-155423 en_US
dc.identifier.uri http://www.lib.ncsu.edu/resolver/1840.16/5282
dc.description.abstract L(Infinity) structures are natural generalizations of Lie algebras, which need satisfy the standard graded Jacobi identity only up to homotopy. They have also been a subject of recent interest in physics, where they occur in closed string theory and in gauge theory. This dissertation classifies all possible L(Infinity) structures which can be constructed on a Z-graded (characteristic 0) vector space of dimension three or less. It also includes necessary and sufficient conditions under which a space with an L(3) structure is a differential graded Lie algebra. Additionally, it is shown that some of these differential graded Lie algebras possess a nontrivial L(n) structure for higher n. en_US
dc.rights I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. en_US
dc.subject homotopy Lie algebras en_US
dc.title L(Infinity) Structures on Spaces of Low Dimension en_US
dc.degree.name PhD en_US
dc.degree.level dissertation en_US
dc.degree.discipline Mathematics en_US

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