On Trees and Characters

Avital Frumkin; Gordon James; Yuval Roichman

doi:10.1023/A:1025052922664

On Trees and Characters

Avital Frumkin^*, Gordon James, Yuval Roichman

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

A new family of trees, defined in term of Young diagrams, is introduced. Values of central characters of the symmetric group are represented as a weighted enumeration of such trees. The proof involves a new decomposition theorem for representations corresponding to general shapes.

Original language	English
Pages (from-to)	323-334
Number of pages	12
Journal	Journal of Algebraic Combinatorics
Volume	17
Issue number	3
DOIs	https://doi.org/10.1023/A:1025052922664
State	Published - May 2003

Keywords

Central characters
Symmetric groups

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10.1023/A:1025052922664

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title = "On Trees and Characters",

abstract = "A new family of trees, defined in term of Young diagrams, is introduced. Values of central characters of the symmetric group are represented as a weighted enumeration of such trees. The proof involves a new decomposition theorem for representations corresponding to general shapes.",

keywords = "Central characters, Symmetric groups",

author = "Avital Frumkin and Gordon James and Yuval Roichman",

note = "Funding Information: ∗Partially supported by the Israel Science Foundation and by internal research grants from Bar-Ilan University.",

year = "2003",

month = may,

doi = "10.1023/A:1025052922664",

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On Trees and Characters

Abstract

Keywords

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