## Symmetric Functions and Hall PolynomialsThis new and much expanded edition of a well-received book remains the only text available on the subject of symmetric functions and Hall polynomials. There are new sections in almost every chapter, and many new examples have been included throughout. |

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### Contents

SYMMETRIC FUNCTIONS | 1 |

HALL POLYNOMIALS | 179 |

HALLLITTLEWOOD SYMMETRIC | 204 |

THE CHARACTERS OF GL OVER | 269 |

THE HECKE RING OF GL OVER | 292 |

SYMMETRIC FUNCTIONS WITH | 305 |

ZONAL POLYNOMIALS | 387 |

457 | |

NOTATION | 468 |

III 5 | 470 |

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### Common terms and phrases

acts algebra assume basis called Chapter character characteristic clear Clearly coefficient column commutative complete Consequently consider consisting corresponding Deduce defined definition denote determinant diagonal diagram elements equal equivalent Example expressed field Finally finite fixed follows formula functor given gives hence homogeneous homomorphism horizontal identity independent induction integer irreducible isomorphism Likewise linear mapping matrix monomial Moreover multiplication notation o-module obtain operator otherwise pair particular partition of length permutation polynomial polynomial function positive integers Proof prove references relation Remark replacing representation resp respect result right-hand ring satisfies scalar product Schur functions sequence shape Show side skew space spherical functions square standard strict strip subgroup submodule Suppose symbols symmetric functions tableau trace unique unless variables vector weight zero zonal

### References to this book

The Arcata conference on representations of finite groups, Part 1 Paul Fong No preview available - 1987 |