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The classification of thick representations of simple Lie groups (2008.12437v2)

Published 28 Aug 2020 in math.RT and math.GR

Abstract: We characterize finite-dimensional thick representations over ${\Bbb C}$ of connected complex semi-simple Lie groups by irreducible representations which are weight multiplicity-free and whose weight posets are totally ordered sets. Moreover, using this characterization, we give the classification of thick representations over ${\Bbb C}$ of connected complex simple Lie groups.

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