Talk:Current algebra

Contradiction in the intro

'Certain commutation relations... define an infinite-dimensional Lie algebra called a current algebra... these are Lie algebras consisting of smooth maps from a manifold into a finite dimensional Lie algebra.'

First it says it's infinite dimensional then it says it's finite dimensional. Paranoidhuman (talk) 19:56, 29 January 2018 (UTC)

The Lie algebra ${\mathfrak {g}}$ is finite-dimensional, but the space of smooth maps (= the current algebra) is an infinite-dimensional Lie algebra ${\hat {\mathfrak {g}}}$. The formulation could maybe be improved. Sylvain Ribault (talk) 20:12, 29 January 2018 (UTC)

Added ref

It's not clear to me what the intentions of the creator of this stub were, but I've added Treiman-Jackiw-Gross reference, just in case. Arcfrk 04:15, 31 May 2007 (UTC)