“Lie Algebra”的概念、定义、习题解题方法及翻译-数学辞典

单词

Lie Algebra

释义

Lie Algebra

A Nonassociative Algebra obeyed by objects such as the Lie Bracket and Poisson Bracket. Elements ,, and of a Lie algebra satisfy

(1)

(2)

and

(3)

(the Jacobi Identity), and are not Associative. The binary operation of a Lie algebrais the bracket

(4)

See also Jacobi Identities, Lie Algebroid, Lie Bracket, Iwasawa's Theorem, Poisson Bracket

References

Lie Algebra

Jacobson, N. Lie Algebras. New York: Dover, 1979.

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