Talk:Current algebra

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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)[reply]

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)[reply]

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)[reply]