Geodesic
Higgs potentials as ``inheritance'' from higher space-time dimensions I.~Dimensional reduction and scalar fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 2, pp. 225-235

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The dimensional reduction of multidimensional “free” gauge theories with additional space-time symmetry is considered. In the framework of this approach, a general method for finding explicitly the scalar fields in the reduced theory is developed. These fields are described by a certain intertwining operator, for the construction of which a root lattice technique for complex classical Lie algebras which generalizes the Dynkin diagram technique is developed. 
@article{TMF_1986_68_2_a5,
     author = {I. P. Volobuev and Yu. A. Kubyshin},
     title = {Higgs potentials as ``inheritance'' from higher space-time dimensions {I.~Dimensional} reduction and scalar fields},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {225--235},
     publisher = {mathdoc},
     volume = {68},
     number = {2},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a5/}
}
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I. P. Volobuev; Yu. A. Kubyshin. Higgs potentials as ``inheritance'' from higher space-time dimensions I.~Dimensional reduction and scalar fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 2, pp. 225-235. http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a5/