Representations of symmetric groups and structures of Lie algebra
| buir.advisor | Klyachko, Alexander A. | |
| dc.contributor.author | Acar, Merve | |
| dc.date.accessioned | 2017-08-02T09:57:19Z | |
| dc.date.available | 2017-08-02T09:57:19Z | |
| dc.date.copyright | 2017-07 | |
| dc.date.issued | 2017-07 | |
| dc.date.submitted | 2017-08-01 | |
| dc.description | Cataloged from PDF version of article. | en_US |
| dc.description | Thesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2017. | en_US |
| dc.description | Includes bibliographical references (leaves 26-27). | en_US |
| dc.description.abstract | The aim of this thesis construct structure of Free Lie Algebra L(V ) generated by nite dimensional vector space V and decompose into irreducible components of a given degree n. To splits into irreducible component, representation of GL(V ) is main tool. However, representation of symmetric groups is used to split since representations of GL(V ) and representations of symmetric group have duality, called Schur duality. After decomposing, Kra skiewicz-Weyman theory and formula using character theory are used to determine the multiplicity of irreducible component. | en_US |
| dc.description.provenance | Submitted by Betül Özen (ozen@bilkent.edu.tr) on 2017-08-02T09:57:19Z No. of bitstreams: 1 RepresentationsofSymmetricGroupsandConstructionsofLieAlgebra.pdf: 399177 bytes, checksum: e5051f46d21ead967513133b476a9b6e (MD5) | en |
| dc.description.provenance | Made available in DSpace on 2017-08-02T09:57:19Z (GMT). No. of bitstreams: 1 RepresentationsofSymmetricGroupsandConstructionsofLieAlgebra.pdf: 399177 bytes, checksum: e5051f46d21ead967513133b476a9b6e (MD5) Previous issue date: 2017-08 | en |
| dc.description.statementofresponsibility | by Merve Acar. | en_US |
| dc.format.extent | vii, 42 leaves : charts (some color) ; 29 cm. | en_US |
| dc.identifier.itemid | B156070 | |
| dc.identifier.uri | http://hdl.handle.net/11693/33523 | |
| dc.language.iso | English | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Free Lie Algebras | en_US |
| dc.subject | Representation of GL(V ) | en_US |
| dc.subject | Symmetric Groups | en_US |
| dc.title | Representations of symmetric groups and structures of Lie algebra | en_US |
| dc.title.alternative | Simetrik grupların temsilleri ve Lie cebir yapıları | en_US |
| dc.type | Thesis | en_US |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Bilkent University | |
| thesis.degree.level | Master's | |
| thesis.degree.name | MS (Master of Science) |
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