Geodesic
Dimensions of skew shifted Young diagrams and projective characters of the infinite symmetric group
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Tome 240 (1997), pp. 115-135

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We study a factorial analogue of Schur P-functions. In terms of them we obtain an explicit formula for dimension of a skew shifted Young diagram. The main application of this formula is a new derivation of the Nazarov's classification of undecomposable projective characters of an infinite symmetric group. 
@article{ZNSL_1997_240_a8,
     author = {V. N. Ivanov},
     title = {Dimensions of skew shifted {Young} diagrams and projective characters of the infinite symmetric group},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {115--135},
     publisher = {mathdoc},
     volume = {240},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a8/}
}
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V. N. Ivanov. Dimensions of skew shifted Young diagrams and projective characters of the infinite symmetric group. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Tome 240 (1997), pp. 115-135. http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a8/