Geodesic
Semifinite characters of~$U(\infty)$
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 36-45

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A general formula is obtained for semifinite characters of $U(\infty)$. Criterian are given for a character to be finite or of type I. 
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     author = {G. Ya. Gitel'son},
     title = {Semifinite characters of~$U(\infty)$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {36--45},
     publisher = {mathdoc},
     volume = {123},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a1/}
}
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G. Ya. Gitel'son. Semifinite characters of~$U(\infty)$. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 36-45. http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a1/