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On Reidemeister torsion of flag manifolds of compact semisimple Lie groups
Journal article   Open access  Peer reviewed

On Reidemeister torsion of flag manifolds of compact semisimple Lie groups

Cenap Ozel, Habib Basbaydar, Yasar Sozen, Erol Yilmaz, Jung Rye Lee, Choonkil Park and 1 Department of Mathematics, King Abdulaziz University, 21589 Jeddah, Makkah, Saudi Arabia
AIMS mathematics, Vol.5(6), pp.7562-7581
01/01/2020
DOI: https://doi.org/10.3934/math.2020484

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we calculate Reidemeister torsion of flag manifold K/T of compact semi-simple Lie group K = SUn+1 using Reidemeister torsion formula and Schubert calculus, where T is maximal torus of K. We find that this number is 1. Also we explicitly calculate ring structure of integral cohomology algebra of flag manifold K/T of compact semi-simple Lie group K = SUn+1 using root data, and Groebner basis techniques.
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https://doi.org/10.3934/math.2020484View
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