Geodesic
Solution of linear equations in spaces of harmonic variables
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 2, pp. 169-183

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General solutions of linear homogeneous and inhomogeneous differential equations of first order on the spaces $SU(N)/U_1(1)\otimes\dots\otimes U_{N-1}(1)$ parametrized by harmonic variables are obtained explicitly for arbitrary $N$. The simplest applications of the obtained results to the investigation of $N$-extended supersymmetric gauge theory are given. 
@article{TMF_1988_76_2_a1,
     author = {I. A. Bandos},
     title = {Solution of linear equations in spaces of harmonic variables},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {169--183},
     publisher = {mathdoc},
     volume = {76},
     number = {2},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_2_a1/}
}
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I. A. Bandos. Solution of linear equations in spaces of harmonic variables. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 2, pp. 169-183. http://geodesic.mathdoc.fr/item/TMF_1988_76_2_a1/