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In this chapter we prove some basic results about semi-simple Lie algebras. The first of these is that every finite dimensional representation of a semi-simple Lie algebra is completely reducible.

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Lie Algebras: Structure Theory

  • 章节

  • 发表日期：

    2025年

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  • M. S. Raghunathan

摘要

In this chapter we prove some basic results about semi-simple Lie algebras. The first of these is that every finite dimensional representation of a semi-simple Lie algebra is completely reducible.