Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three

Omar Tout

doi:10.13069/jacodesmath.560404

Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three

Omar Tout^*

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We use the combinatorial way to give an explicit expression for the product of the class of cycles of length three with an arbitrary class of cycles. In addition, an explicit formula for the coefficient of an arbitrary class in the expansion of the product of an arbitrary class by the class of cycles of length three is given.

Original language	English
Pages (from-to)	53-62
Number of pages	10
Journal	Journal of Algebra Combinatorics Discrete Structures and Applications
Volume	6
Issue number	2
DOIs	https://doi.org/10.13069/jacodesmath.560404
Publication status	Published - 2019
Externally published	Yes

Keywords

Product of conjugacy classes of the symmetric group
Representation theory of the symmetric group
Structure coefficients
The center of the symmetric group algebra

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.13069/jacodesmath.560404

Cite this

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title = "Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three",

abstract = "We use the combinatorial way to give an explicit expression for the product of the class of cycles of length three with an arbitrary class of cycles. In addition, an explicit formula for the coefficient of an arbitrary class in the expansion of the product of an arbitrary class by the class of cycles of length three is given.",

keywords = "Product of conjugacy classes of the symmetric group, Representation theory of the symmetric group, Structure coefficients, The center of the symmetric group algebra",

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year = "2019",

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AB - We use the combinatorial way to give an explicit expression for the product of the class of cycles of length three with an arbitrary class of cycles. In addition, an explicit formula for the coefficient of an arbitrary class in the expansion of the product of an arbitrary class by the class of cycles of length three is given.

KW - Product of conjugacy classes of the symmetric group

KW - Representation theory of the symmetric group

KW - Structure coefficients

KW - The center of the symmetric group algebra

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ER -

Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three

Abstract

Keywords

ASJC Scopus subject areas

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