Permutation representations on invertible matrices

Yona Cherniavsky; Eli Bagno

doi:10.1016/j.laa.2006.05.016

Permutation representations on invertible matrices

Yona Cherniavsky
, Eli Bagno

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

4 ציטוטים ‏(Scopus)

תקציר

We discuss permutation representations which are obtained by the natural action of S_n × S_n on some special sets of invertible matrices, defined by simple combinatorial attributes. We decompose these representations into irreducibles. The multiplicities involved have a nice combinatorial interpretation. We also generalize known results on asymptotic behavior of the conjugacy representation of S_n.

שפה מקורית	אנגלית
עמודים (מ-עד)	494-518
מספר עמודים	25
כתב עת	Linear Algebra and Its Applications
כרך	419
מספר גיליון	2-3
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1016/j.laa.2006.05.016
סטטוס פרסום	פורסם - 1 דצמ׳ 2006
פורסם באופן חיצוני	כן

גישה למסמך

10.1016/j.laa.2006.05.016

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

@article{65597c3175664fc4ac3d8be957e21d96,

title = "Permutation representations on invertible matrices",

abstract = "We discuss permutation representations which are obtained by the natural action of Sn × Sn on some special sets of invertible matrices, defined by simple combinatorial attributes. We decompose these representations into irreducibles. The multiplicities involved have a nice combinatorial interpretation. We also generalize known results on asymptotic behavior of the conjugacy representation of Sn.",

keywords = "Permutation groups, Permutation representations, Representation theory",

author = "Yona Cherniavsky and Eli Bagno",

note = "Funding Information: The work was supported in part by the Israel Science Foundation. ∗ Corresponding author.",

year = "2006",

month = dec,

day = "1",

doi = "10.1016/j.laa.2006.05.016",

language = "אנגלית",

volume = "419",

pages = "494--518",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "2-3",

}

TY - JOUR

T1 - Permutation representations on invertible matrices

AU - Cherniavsky, Yona

AU - Bagno, Eli

N1 - Funding Information: The work was supported in part by the Israel Science Foundation. ∗ Corresponding author.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - We discuss permutation representations which are obtained by the natural action of Sn × Sn on some special sets of invertible matrices, defined by simple combinatorial attributes. We decompose these representations into irreducibles. The multiplicities involved have a nice combinatorial interpretation. We also generalize known results on asymptotic behavior of the conjugacy representation of Sn.

AB - We discuss permutation representations which are obtained by the natural action of Sn × Sn on some special sets of invertible matrices, defined by simple combinatorial attributes. We decompose these representations into irreducibles. The multiplicities involved have a nice combinatorial interpretation. We also generalize known results on asymptotic behavior of the conjugacy representation of Sn.

KW - Permutation groups

KW - Permutation representations

KW - Representation theory

UR - https://www.scopus.com/pages/publications/33748905419

U2 - 10.1016/j.laa.2006.05.016

DO - 10.1016/j.laa.2006.05.016

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AN - SCOPUS:33748905419

SN - 0024-3795

VL - 419

SP - 494

EP - 518

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 2-3

ER -

Permutation representations on invertible matrices

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