| dc.contributor.advisor | Cardona Guio, Alexander | |
| dc.contributor.advisor | Reyes Lega, Andrés Fernando | |
| dc.contributor.author | Calderón Gómez, Julián David | |
| dc.date.accessioned | 2022-11-01T13:29:22Z | |
| dc.date.available | 2022-11-01T13:29:22Z | |
| dc.date.issued | 2022-06-02 | |
| dc.identifier.uri | http://hdl.handle.net/1992/62981 | |
| dc.description.abstract | La idea principal de este trabajo es entender las conexiones que existen entre teoría del índice y el problema de implementación de simetrías unitarias en estructuras algebraicas como las álgebras de Clifford y las álgebras de relaciones de anticonmutación canónicas -Álgebras CAR.
Se logra entender, además, la conexión de este índice con otra estructura adicional asociada con las C* álgebras que surgen en este trabajo, como lo es la K-Teoría. Finalmente, se analizan algunos ejemplos motivados desde la física como el modelo Su-Schriefer-Heeger (SSH) y la cadena de Kitaev, los cuales ilustran los dos posibles invariantes que pueden surgir en lo que se conoce como la correspondencia Bulk - Edge (tipo Z y tipo Z_2). | |
| dc.format.extent | 111 páginas | es_CO |
| dc.format.mimetype | application/pdf | es_CO |
| dc.language.iso | eng | es_CO |
| dc.publisher | Universidad de los Andes | es_CO |
| dc.rights.uri | https://repositorio.uniandes.edu.co/static/pdf/aceptacion_uso_es.pdf | |
| dc.title | Index theory and implementability of unitary representations of CAR algebras | |
| dc.title.alternative | Teoría del índice e implementabilidad de representaciones unitarias de álgebras CAR | |
| dc.type | Trabajo de grado - Maestría | es_CO |
| dc.publisher.program | Maestría en Matemáticas | es_CO |
| dc.subject.keyword | Álgebra CAR | |
| dc.subject.keyword | Álgebras de Clifford | |
| dc.subject.keyword | Transformaciones de Bogoliubov | |
| dc.subject.keyword | Correspondencia Bulk - Edge | |
| dc.publisher.faculty | Facultad de Ciencias | es_CO |
| dc.publisher.department | Departamento de Matemáticas | es_CO |
| dc.contributor.jury | Recht, Lázaro | |
| dc.contributor.jury | Winklmeier, Monika Anna | |
| dc.type.driver | info:eu-repo/semantics/masterThesis | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dc.description.degreename | Magíster en Matemáticas | es_CO |
| dc.description.degreelevel | Maestría | es_CO |
| dc.description.researcharea | Geometría y física matemática. | es_CO |
| dc.identifier.instname | instname:Universidad de los Andes | es_CO |
| dc.identifier.reponame | reponame:Repositorio Institucional Séneca | es_CO |
| dc.identifier.repourl | repourl:https://repositorio.uniandes.edu.co/ | es_CO |
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| dc.rights.accessrights | info:eu-repo/semantics/openAccess | |
| dc.type.coar | http://purl.org/coar/resource_type/c_bdcc | |
| dc.type.coarversion | http://purl.org/coar/version/c_ab4af688f83e57aa | |
| dc.type.content | Text | es_CO |
| dc.type.redcol | https://purl.org/redcol/resource_type/TM | |
| dc.rights.coar | http://purl.org/coar/access_right/c_abf2 | |
| dc.subject.themes | Matemáticas | es_CO |
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