The conjugacy character of S n tends to be regular

Ron M. Adin; Avital Frumkin

doi:10.1007/bf02787264

The conjugacy character of S_n tends to be regular

Ron M. Adin, Avital Frumkin

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

4 Scopus citations

Abstract

Consider the regular and the conjugacy characters of S_n as vectors in Euclidean space, with the standard inner product. As n grows, the angle between them tends to zero and the ratio of their lengths tends to one. The two characters have therefore asymptotically similar decompositions into irreducible components.

Original language	English
Pages (from-to)	234-240
Number of pages	7
Journal	Israel Journal of Mathematics
Volume	59
Issue number	2
DOIs	https://doi.org/10.1007/bf02787264
State	Published - Jun 1987
Externally published	Yes

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title = "The conjugacy character of S n tends to be regular",

abstract = "Consider the regular and the conjugacy characters of S n as vectors in Euclidean space, with the standard inner product. As n grows, the angle between them tends to zero and the ratio of their lengths tends to one. The two characters have therefore asymptotically similar decompositions into irreducible components.",

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The conjugacy character of S_n tends to be regular

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