Lie algebra

Classical Lie algebra

The classical Lie algebras are:1 lie

  • [[Special linear Lie algebra|𝐴𝑛 =𝔰𝔩𝑛+1𝕂]]

  • [[Orthogonal Lie algebra|𝐡𝑛 =𝔬2𝑛+1𝕂]]

  • [[Symplectic Lie algebra|𝐢𝑛 =𝔰𝔭2𝑛𝕂]]

  • [[Orthogonal Lie algebra|𝐷𝑛 =𝔬2𝑛𝕂]]


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Footnotes

  1. 1972. Introduction to Lie Algebras and Representation Theory, Β§1.2, pp. 2–3 ↩