Geodesic
Investigation of nonlinear realizations of chiral groups by the method of generating functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 1, pp. 19-33 Cet article a éte moissonné depuis la source Math-Net.Ru

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An exhaustive description is given of nonlinear realizations of the chiral groups $U_n\times U_n$ and $SU_n\times SU_n$ which are linearized on the subgroups $U_n$ and $SU_n$, respectively. The description is carried out by the method os generating functions using Sylvester – Lagrange polynomials. It is proved that the nonlinear realizations of the chiral group $SU_n\times SU_n$ are stipulated uniquely with an accuracy of up to a canonical redefinition of the field variables; under these conditions the method of generating functions allows explicit indication of the required substitution of field variables. It is shown that unlike semisimple groups, the non-semisimple group $U_n\times U_n$ has nonequivalent nonlinear realizations. 
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B. M. Zupnik; V. I. Ogievetskii. Investigation of nonlinear realizations of chiral groups by the method of generating functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 1, pp. 19-33. http://geodesic.mathdoc.fr/item/TMF_1969_1_1_a1/

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