Details

Autor(en) / Beteiligte

• Cahen, M.
• Gutt, S.
• Kozameh, C.
• Newman, E. T.

Titel

Yang–Mills equations and solvable groups. II

Ist Teil von

• Journal of mathematical physics, 1988-04, Vol.29 (4), p.1022-1025

Erscheinungsjahr

1988

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• It is shown that the necessary and sufficient condition for the Yang–Mills equations (associated with an arbitrary group G) to be derivable from a Lagrangian (which is polynonial in the derivatives of the connection) is that the Lie algebra g of G possesses an invariant nondegenerate quadratic form γ. It is well known that for semisimple groups such a γ exists, namely the Killing form. What is not so well known is that such a γ exists for many other groups and in particular for many solvable and nilpotent groups. Several examples in this class are discussed.