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Surjective Linear Maps Between Root Systems with Zero

Published online by Cambridge University Press:  20 November 2018

D. Ž. Đoković
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1
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Abstract

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If R 1 and R 2 are root systems and there is a linear map which maps R 1 ∪{0} onto R 2∪{0} we write R 1 —> R 2. We determine all pairs (R 1, R 2) of irreducible root systems such that R 1 —> R 2.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1995