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 journalArticlepeer-review

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 languageEnglish
Pages (from-to)53-62
Number of pages10
JournalJournal of Algebra Combinatorics Discrete Structures and Applications
Volume6
Issue number2
DOIs
Publication statusPublished - 2019
Externally publishedYes

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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