Parabolic and equal-rank subroot systems with applications to symmetric spaces and flag manifolds

Publication

Parabolic and equal-rank subroot systems with applications to symmetric spaces and flag manifolds

Makrooni, Mohammad Adib

Files

Mohammad Adib Makrooni PhD thesis.pdf

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Identifiers

http://hdl.handle.net/10379/6265
https://doi.org/10.13025/16718

Publication Date

2016-06-20

Keywords

Lie algebra, Strange formula, Root system, Homogeneous spaces, Chern classes, Mathematics, Mathematics, Statistics and Applied Mathematics

Type

Thesis

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Abstract

Using the algebraic structure of subroot systems in the root system of a complex simple Lie algebra g, we prove a generalization for compact homogeneous spaces with positive Euler characteristic of the 'strange formula' of Freudenthal and de-Vries. We also derive formulae for the Chern classes of flag manifolds and the defect of the corresponding dual or discriminant varieties.

Funder

Registrar’s Office of NUIG.

Rights

Attribution-NonCommercial-NoDerivs 3.0 Ireland

Collections

University of Galway Theses (PhD Theses)