Invitation to Lie Algebras and Representations
نویسنده
چکیده
In this paper, we outline the rudiments of the representation theory of semisimple Lie algebras. We build the necessary theory in order to analyze the representations of sl2, which includes proving that representations of semisimple Lie algebras are completely reducible and preserve the Jordan decomposition. We only assume the reader has a working knowledge of linear algebra and a little familiarity with abstract algebra. Most of the proofs follow from [1], [2] and [4].
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