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PARABOLIC SUBROOT SYSTEMS AND THEIR APPLICATIONS

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Abstract In this note we consider parabolic subroot systems of a complex simple Lie Algebra. We describe root theoretic data of the subroot systems in terms of that of the… Click to show full abstract

Abstract In this note we consider parabolic subroot systems of a complex simple Lie Algebra. We describe root theoretic data of the subroot systems in terms of that of the root system and we give a selection of applications of our results to the study of generalized flag manifolds.

Keywords: subroot systems; systems applications; parabolic subroot

Journal Title: Glasgow Mathematical Journal
Year Published: 2019

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