On reidemeister torsion of flag manifolds of compact semisimple lie groups
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Dosyalar
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Mathematical Sciences
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Flag Manifolds, Graded Inverse Lexicographic Order, Groebner-shirshov Bases, Reidemeister Torsion, Schubert Calculus, Weyl Groups
Kaynak
AIMS Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
5
Sayı
6
