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Dimensions of skew-shifted young diagrams and projective characters of the infinite symmetric group

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Abstract

We study a factorial of Schur's P-functions. In terms of these functions, we obtain an explicit formula for the dimension of a skew shifted Young diagram. The main application of this formula is a new derivation of the Nazarov's classification of indecomposable projective characters of an infinite symmetric group.

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Authors
  1. V. N. Ivanov
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 240, 1997, pp. 115–135.

Supported by the Soros International Educational Program, grant 2093c.

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Ivanov, V.N. Dimensions of skew-shifted young diagrams and projective characters of the infinite symmetric group. J Math Sci 96, 3517–3530 (1999). https://doi.org/10.1007/BF02175830

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  • DOI: https://doi.org/10.1007/BF02175830

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