File:Alcoves labeled by affine permutations.png

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Description
English: The lines are the reflecting hyperplanes of the affine symmetric group of type A_2. They divide the plane into alcoves; the fundamental alcove is shaded, and its bounding lines (corresponding to the Coxeter generators) are thick. Each alcove A is labeled by the affine permutation that sends the fundamental alcove to A.
Date
Source Own work
Author Joel B. Lewis

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I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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Affine A_2 hyperplane arrangement, with alcoves labeled by affine permutations

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3 June 2020

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9b9ee6060f8b281d5abb1bc21b8ab265b86ade66

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12,525 pixel

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Date/TimeThumbnailDimensionsUserComment
current13:11, 5 June 2020Thumbnail for version as of 13:11, 5 June 202012,525 × 9,995 (528 KB)JayBeeEllUsing the inverse labeling
17:11, 3 June 2020Thumbnail for version as of 17:11, 3 June 202012,650 × 10,070 (522 KB)JayBeeEllUploaded own work with UploadWizard

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