nLab
central character

If U=U(𝔤)U = U(\mathfrak{g}) is the enveloping algebra of a Lie algebra \mathrak{g] over 𝔤\mathfrak{g}, a central character of U(𝔤)U(\mathfrak{g}), or, by abuse of language, of 𝔤\mathfrak{g}, is any algebra homomorphism Z(𝔤)Z(\mathfrak{g})\to\mathbb{C}.

If 𝔤\mathfrak{g} is a semisimple Lie algebra over 𝔤\mathfrak{g}, then any weight λ\lambda determines a central character χ λ\chi_\lambda in a standard way (…)

Created on March 11, 2011 at 20:35:17. See the history of this page for a list of all contributions to it.