Universal Enveloping Algebras and Verma Modules

dc.contributor.advisor	MISHRA, MANISH
dc.contributor.advisor	Mazorchuk, Volodymyr
dc.contributor.author	MASKE, SUSHANT
dc.date.accessioned	2026-05-15T06:39:46Z
dc.date.available	2026-05-15T06:39:46Z
dc.date.issued	2026-05
dc.identifier.citation	123	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10983
dc.description.abstract	After 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.language.iso	en	en_US
dc.subject	Representation theory	en_US
dc.subject	Lie algebras	en_US
dc.subject	Verma modules	en_US
dc.subject	Highest weight	en_US
dc.subject	Enveloping algebras	en_US
dc.title	Universal Enveloping Algebras and Verma Modules	en_US
dc.type	Thesis	en_US
dc.description.embargo	No Embargo	en_US
dc.type.degree	BS-MS	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.contributor.registration	20211001	en_US

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Description: MS Thesis

MS THESES [2219]
Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme