Distributive coset graphs of finite Coxeter groups

Götz Pfeiffer; Gerhard Röhrle

doi:10.1515/jgth.2003.021

Distributive coset graphs of finite Coxeter groups

Götz Pfeiffer
, Gerhard Röhrle

Mathematics

University of Birmingham

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

Let W be a finite Coxeter group, W_J a parabolic subgroup of W and X_J the set of distinguished coset representatives of W_J in W equipped with the induced weak Bruhat ordering of W. All instances when X_J is a distributive lattice are known. In this note we present a new short conceptual proof of this result.

Original language	English
Pages (from-to)	311-320
Number of pages	10
Journal	Journal of Group Theory
Volume	6
Issue number	3
DOIs	https://doi.org/10.1515/jgth.2003.021
Publication status	Published - 2003

Access to Document

10.1515/jgth.2003.021

Cite this

@article{4cd911bc6f864948801e3971eb59b7d3,

title = "Distributive coset graphs of finite Coxeter groups",

abstract = "Let W be a finite Coxeter group, WJ a parabolic subgroup of W and XJ the set of distinguished coset representatives of WJ in W equipped with the induced weak Bruhat ordering of W. All instances when XJ is a distributive lattice are known. In this note we present a new short conceptual proof of this result.",

author = "G{\"o}tz Pfeiffer and Gerhard R{\"o}hrle",

year = "2003",

doi = "10.1515/jgth.2003.021",

language = "English",

volume = "6",

pages = "311--320",

journal = "Journal of Group Theory",

issn = "1433-5883",

publisher = "Walter de Gruyter GmbH",

number = "3",

}

TY - JOUR

T1 - Distributive coset graphs of finite Coxeter groups

AU - Pfeiffer, Götz

AU - Röhrle, Gerhard

PY - 2003

Y1 - 2003

N2 - Let W be a finite Coxeter group, WJ a parabolic subgroup of W and XJ the set of distinguished coset representatives of WJ in W equipped with the induced weak Bruhat ordering of W. All instances when XJ is a distributive lattice are known. In this note we present a new short conceptual proof of this result.

AB - Let W be a finite Coxeter group, WJ a parabolic subgroup of W and XJ the set of distinguished coset representatives of WJ in W equipped with the induced weak Bruhat ordering of W. All instances when XJ is a distributive lattice are known. In this note we present a new short conceptual proof of this result.

UR - https://www.scopus.com/pages/publications/0042672676

U2 - 10.1515/jgth.2003.021

DO - 10.1515/jgth.2003.021

M3 - Article

SN - 1433-5883

VL - 6

SP - 311

EP - 320

JO - Journal of Group Theory

JF - Journal of Group Theory

IS - 3

ER -

Distributive coset graphs of finite Coxeter groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this