Irreducible Representations of Semisimple Lie Algebras
نویسنده
چکیده
The goal of this paper is to study the irreducible representations of semisimple Lie algebras. We will begin by considering two cases of such algebras: sl2(C) and sl3(C). First, we discover the irreducible representations of sl2(C). The process used in doing so will guide us through our development of the irreducible representations of sl3(C). We will note several key similarities in the processes used to produce irreducible representations of both these examples. Using these two examples, we will begin to study the irreducible representations of semisimple Lie algebras in general.
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