Universal Enveloping Algebras and Verma Modules

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dc.contributor.advisorMISHRA, MANISHen_US
dc.contributor.advisorMazorchuk, Volodymyren_US
dc.contributor.authorMASKE, SUSHANTen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.contributor.registration20211001en_US
dc.date.accessioned2026-05-15T06:39:46Z
dc.date.available2026-05-15T06:39:46Z
dc.date.issued2026-05en_US
dc.description.abstractAfter Lie algebras were introduced by Sophus Lie, Elie Cartan gave the classification of semi-simple Lie algebras and began studying their representations by the early 20th century. The aim of this thesis is to survey the advances made in the representation theory of semi-simple Lie algebras since then, culminating in the study of the theory of the BGG Category \mathcal{O}.en_US
dc.description.embargoNo Embargoen_US
dc.identifier.citation123en_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10983
dc.language.isoenen_US
dc.subjectRepresentation theoryen_US
dc.subjectLie algebrasen_US
dc.subjectVerma modulesen_US
dc.subjectHighest weighten_US
dc.subjectEnveloping algebrasen_US
dc.titleUniversal Enveloping Algebras and Verma Modulesen_US
dc.typeThesisen_US
dc.type.degreeBS-MSen_US

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