Lie Algebras, Enveloping Algebras and Representation Theory

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dc.contributor.authorSury, Vidur
dc.date.accessioned2020-10-07T04:19:09Z
dc.date.available2020-10-07T04:19:09Z
dc.date.issued2020-04
dc.description.abstractThis 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.guideKhandai, Tanusree
dc.identifier.urihttp://hdl.handle.net/123456789/1539
dc.language.isoenen_US
dc.publisherIISER Mohalien_US
dc.subjectLie algebras - Basicsen_US
dc.subjectToral subalgebra and root spacesen_US
dc.subjectAbstract root systemsen_US
dc.subjectRepresentation Theoryen_US
dc.subjectAdo’s Theoremen_US
dc.titleLie Algebras, Enveloping Algebras and Representation Theoryen_US
dc.typeThesisen_US

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