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2018 A note on sums of roots
Timothy Ferdinands, Annette Pilkington
Rocky Mountain J. Math. 48(3): 819-829 (2018). DOI: 10.1216/RMJ-2018-48-3-819

Abstract

In this paper, we look at properties of roots which can be written as sums of roots in crystallographic root systems. We derive properties of the poset associated to such a sum consisting of the subsums which are themselves roots.

Citation

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Timothy Ferdinands. Annette Pilkington. "A note on sums of roots." Rocky Mountain J. Math. 48 (3) 819 - 829, 2018. https://doi.org/10.1216/RMJ-2018-48-3-819

Information

Published: 2018
First available in Project Euclid: 2 August 2018

zbMATH: 06917348
MathSciNet: MR3835573
Digital Object Identifier: 10.1216/RMJ-2018-48-3-819

Subjects:
Primary: 17B22, 20F55

Keywords: root sums, root system

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 3 • 2018
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