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Introduction to Lie Algebras

UndergraduateMathematics
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Last updated8 months ago

Description

Lie algebras. Nilpotent, solvable and semisimple Lie algebras. Universal enveloping algebras and PBW-theorem. Cartan subalgebras. Roots system, Weyl group, and Dynkin diagram. Classification of semisimple Lie algebras. Representations of semisimple algebras. Weyl character formula. Harish-Chandra isomorphism theorem.

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MATH5143 has possible credit equivalents including MATH518 at McGill University.

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