On Reidemeister torsion of flag manifolds of compact semisimple Lie groups

On Reidemeister torsion of flag manifolds of compact semisimple Lie groups

In this paper we calculate Reidemeister torsion of flag manifold $K/T$ of compact semi-simple Lie group $K=SU_{n+1}$ 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 coh...

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Bibliographic Details
Main Authors: Cenap Özel, Habib Basbaydar, Yasar Sözen, Erol Yilmaz, Jung Rye Lee, Choonkil Park
Format: Article
Language:English
Published: AIMS Press 2020-09-01
Series:AIMS Mathematics
Subjects:
reidemeister torsion
flag manifolds
weyl groups
schubert calculus
groebner-shirshov bases
graded inverse lexicographic order
Online Access:https://www.aimspress.com/article/10.3934/math.2020484/fulltext.html

Internet

https://www.aimspress.com/article/10.3934/math.2020484/fulltext.html

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