PARABOLIC SUBROOT SYSTEMS AND THEIR APPLICATIONS

John Michael Burns

doi:10.1017/S0017089519000156

PARABOLIC SUBROOT SYSTEMS AND THEIR APPLICATIONS

John Michael Burns

Mathematics

University of Galway

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

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.

Original language	English (Ireland)
Pages (from-to)	355-366
Number of pages	12
Journal	Glasgow Mathematical Journal
Volume	62
Issue number	2
DOIs	https://doi.org/10.1017/S0017089519000156
Publication status	Published - 1 May 2020

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Burns, JM,Makrooni, MA

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10.1017/S0017089519000156

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title = "PARABOLIC SUBROOT SYSTEMS AND THEIR APPLICATIONS",

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.",

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AB - 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.

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DO - 10.1017/S0017089519000156

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SP - 355

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JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 2

ER -

PARABOLIC SUBROOT SYSTEMS AND THEIR APPLICATIONS

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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