On Reidemeister torsion of flag manifolds of compact semisimple Lie groups

被引：0

作者：

Ozel, Cenap ^{[1
]}

Basbaydar, Habib ^{[2
]}

Sozen, Yasar ^{[3
]}

Yilmaz, Erol ^{[2
]}

Lee, Jung Rye ^{[4
]}

Park, Choonkil ^{[5
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Makkah, Saudi Arabia

[2] AIBU Izzet Baysal Univ, Dept Math, Bolu, Turkey

[3] Hacettepe Univ, Dept Math, Ankara, Turkey

[4] Daejin Univ, Dept Math, Kyunggi 11159, South Korea

[5] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 06期

关键词：

Reidemeister torsion; flag manifolds; Weyl groups; Schubert calculus; Groebner-Shirshov bases; graded inverse lexicographic order; GROMOV-WITTEN INVARIANTS; QUANTUM COHOMOLOGY;

D O I：

10.3934/math.2020484

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：7562 / 7581

页数：20

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