Lie Algebras, Enveloping Algebras and Representation Theory

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DC Field	Value	Language
dc.contributor.author	Sury, Vidur	-
dc.contributor.author	Khandai, Tanusree	-
dc.date.accessioned	2021-12-10T09:52:20Z	-
dc.date.available	2021-12-10T09:52:20Z	-
dc.date.issued	2020-04	-
dc.identifier.uri	http://hdl.handle.net/123456789/1653	-
dc.description.abstract	This thesis 'Lie Algebras, Enveloping Algebras and Representation Theory' consists of two parts. The first part describes the basics of Lie algebras and discusses the theory of semisimple Lie algebras and their root systems. The second part discusses enveloping algebras, the Poincar´e-Birkhoff-Witt Theorem and culminating in the beautiful theorem due to Ado proving that every finite-dimensional Lie algebra in characteristic 0 has a finite-dimensional faithful Lie algebra representation. The thesis report is almost self - contained and was written under the supervision of Prof. Tanusree Khandai.	en_US
dc.language.iso	en	en_US
dc.publisher	IISERM	en_US
dc.subject	Lie algebras - Basics	en_US
dc.subject	Toral subalgebra and root spaces	en_US
dc.subject	Abstract root systems	en_US
dc.subject	Representation Theory	en_US
dc.subject	Ado’s Theorem	en_US
dc.title	Lie Algebras, Enveloping Algebras and Representation Theory	en_US
dc.type	Thesis	en_US
Appears in Collections:	MS-15

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