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Distributive coset graphs of finite Coxeter groups

Distributive coset graphs of finite Coxeter groups
Distributive coset graphs of finite Coxeter groups
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.
distributive coset lattices, minuscule posets, finite coxeter groups
1433-5883
311-320
Pfeiffer, Goetz
f6e019d0-467a-4c4d-9c9a-bae6f69885e2
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886
Pfeiffer, Goetz
f6e019d0-467a-4c4d-9c9a-bae6f69885e2
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886

Pfeiffer, Goetz and Roehrle, Gerhard (2003) Distributive coset graphs of finite Coxeter groups. Journal of Group Theory, 6 (3), 311-320.

Record type: Article

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.

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More information

Published date: 2003
Keywords: distributive coset lattices, minuscule posets, finite coxeter groups

Identifiers

Local EPrints ID: 38490
URI: http://eprints.soton.ac.uk/id/eprint/38490
ISSN: 1433-5883
PURE UUID: 5a2bb1d8-7bc8-482d-9a2a-56e828c91595

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Date deposited: 12 Jun 2006
Last modified: 08 Jan 2022 18:57

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Contributors

Author: Goetz Pfeiffer
Author: Gerhard Roehrle

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