On Reidemeister torsion of flag manifolds of compact semisimple Lie groups

Ozel, Cenap; Basbaydar, Habib; SÖZEN, YAŞAR; YILMAZ, EROL; Lee, Jung; Park, Choonkil

doi:10.3934/math.2020484

On Reidemeister torsion of flag manifolds of compact semisimple Lie groups

Ozel C., Basbaydar H., SÖZEN Y., YILMAZ E., Lee J. R., Park C.

AIMS MATHEMATICS, cilt.5, sa.6, ss.7562-7581, 2020 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 5 Sayı: 6
Basım Tarihi: 2020
Doi Numarası: 10.3934/math.2020484
Dergi Adı: AIMS MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.7562-7581
Hacettepe Üniversitesi Adresli: Evet

Özet

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.