Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/1653
Title: Lie Algebras, Enveloping Algebras and Representation Theory
Authors: Sury, Vidur
Khandai, Tanusree
Keywords: Lie algebras - Basics
Toral subalgebra and root spaces
Abstract root systems
Representation Theory
Ado’s Theorem
Issue Date: Apr-2020
Publisher: IISERM
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.
URI: http://hdl.handle.net/123456789/1653
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