Details:
Title  On Gr\"obner bases for flag manifolds $F(1, 1,dots , 1, n)$.  Author(s)  Zoran Z. Petrovic, Branislav I. Prvulovic  Type  Article in Journal  Abstract  The knowledge of cohomology of a manifold has shown to be quite relevant in various investigations: the question of vector fields, immersion and embedding dimension, and recently even in topological robotics. The method of Gröbner bases is applicable when the cohomology of the manifold is a quotient of a polynomial algebra. The mod 2 cohomology of the real flag manifold F(n1, n2, …, nr) is known to be isomorphic to a polynomial algebra modulo a certain ideal. Reduced Gröbner bases for these ideals are obtained in the case of manifolds F(1, 1, …, 1, n) including the complete flag manifolds (n = 1).
 Keywords  Gröbner bases; flag manifolds; cohomology  ISSN  02194988 
URL 
http://www.worldscientific.com/doi/abs/10.1142/S0219498812501824 
Language  English  Journal  J. Algebra Appl.  Volume  12  Number  3  Pages  7  Publisher  World Scientific, Singapore  Year  2013  Edition  0  Translation 
No  Refereed 
No 
