### Abstract

Cauchy’s summation theorem for Schur functions is generalized, and a number of related results are given. The result is applied to a combinatorial problem involving products of pairs of permuations, by appeal to properties of the group algebra of the symmetric group.

Original language | English (US) |
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Pages (from-to) | 805-820 |

Number of pages | 16 |

Journal | Transactions of the American Mathematical Society |

Volume | 310 |

Issue number | 2 |

DOIs | |

State | Published - Dec 1988 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

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## Cite this

Andrews, G. E., Goulden, I. P., & Jackson, D. M. (1988). Generalizations of cauchy’s summation theorem for schur functions.

*Transactions of the American Mathematical Society*,*310*(2), 805-820. https://doi.org/10.1090/S0002-9947-1988-0973178-8