Some coefficients in the center of the group algebra of the symmetric group

Gadi Moran

doi:10.1016/0012-365X(78)90149-8

Some coefficients in the center of the group algebra of the symmetric group

Gadi Moran

Department of Mathematics

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

Abstract

Let k_τ denote the sum of all members of a conjugacy class τ of a finite symmetric group. Let k_ρ · k_σ = ∑_τ£ρστ k_τ. Generating functions are obtained for the coefficients c_ρστ, where ρ and σ are reflection classes.

Original language	English
Pages (from-to)	75-81
Number of pages	7
Journal	Discrete Mathematics
Volume	21
Issue number	1
DOIs	https://doi.org/10.1016/0012-365X(78)90149-8
State	Published - 1978

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(78)90149-8

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title = "Some coefficients in the center of the group algebra of the symmetric group",

abstract = "Let kτ denote the sum of all members of a conjugacy class τ of a finite symmetric group. Let kρ · kσ = ∑τ£ρστ kτ. Generating functions are obtained for the coefficients cρστ, where ρ and σ are reflection classes.",

author = "Gadi Moran",

year = "1978",

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AB - Let kτ denote the sum of all members of a conjugacy class τ of a finite symmetric group. Let kρ · kσ = ∑τ£ρστ kτ. Generating functions are obtained for the coefficients cρστ, where ρ and σ are reflection classes.

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Some coefficients in the center of the group algebra of the symmetric group

Abstract

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