Generalizations of cauchy’s summation theorem for schur functions

G. E. Andrews; I. P. Goulden; D. M. Jackson

doi:10.1090/S0002-9947-1988-0973178-8

Generalizations of cauchy’s summation theorem for schur functions

G. E. Andrews, I. P. Goulden, D. M. Jackson

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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)
Pages (from-to)	805-820
Number of pages	16
Journal	Transactions of the American Mathematical Society
Volume	310
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1988-0973178-8
State	Published - Dec 1988

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1988-0973178-8

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title = "Generalizations of cauchy{\textquoteright}s summation theorem for schur functions",

abstract = "Cauchy{\textquoteright}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.",

author = "Andrews, \{G. E.\} and Goulden, \{I. P.\} and Jackson, \{D. M.\}",

year = "1988",

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T1 - Generalizations of cauchy’s summation theorem for schur functions

AU - Andrews, G. E.

AU - Goulden, I. P.

AU - Jackson, D. M.

PY - 1988/12

Y1 - 1988/12

N2 - 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.

AB - 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.

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U2 - 10.1090/S0002-9947-1988-0973178-8

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 2

ER -

Generalizations of cauchy’s summation theorem for schur functions

Abstract

All Science Journal Classification (ASJC) codes

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