Abstract
We now introduce the “abstract” notion of a Lie algebra. In Sect. 3.3, we will associate to each matrix Lie group a Lie algebra. It is customary to use lowercase Gothic (Fraktur) characters such as \(\mathfrak{g}\) and \(\mathfrak{h}\) to refer to Lie algebras.
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Hall, B. (2015). Lie Algebras. In: Lie Groups, Lie Algebras, and Representations. Graduate Texts in Mathematics, vol 222. Springer, Cham. https://doi.org/10.1007/978-3-319-13467-3_3
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