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ABELIAN IDEALS IN A COMPLEX SIMPLE LIE ALGEBRA

Part of: Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  10 June 2016

PATRICK J. BROWNE
PATRICK J. BROWNE*
Affiliation:
School of Mathematics, Statistics and Applied Mathematics, N.U.I Galway, Ireland e-mail: patrick.browne@nuigalway.ie
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Abstract

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In this note, we give a new simple construction of all maximal abelian ideals in a Borel subalgebra of a complex simple Lie algebra. We also derive formulas for dimensions of certain maximal abelian ideals in terms of the theory of Borel de Siebenthal.

MSC classification

Primary: 17B22: Root systems
Secondary: 17B99: None of the above, but in this section
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 1 , January 2017 , pp. 255 - 264
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

References

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