Özel, CenapBaşbaydar, HabibSözen, YaşarYılmaz, ErolLee, Jung RyePark, Choonkil2021-06-232021-06-2320202473-6988https://doi.org/10.3934/math.2020484https://hdl.handle.net/20.500.12491/5209In this paper we calculate Reidemeister torsion of flag manifold K/T of compact semisimple Lie group K = S Un+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 = S Un+1 using root data, and Groebner basis techniques.eninfo:eu-repo/semantics/openAccessFlag ManifoldsGraded Inverse Lexicographic OrderGroebner-shirshov BasesReidemeister TorsionSchubert CalculusWeyl GroupsArticle10.3934/math.202048456756275812-s2.0-85091767970Q2WOS:000576304500049Q2