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https://research.matf.bg.ac.rs/handle/123456789/193
Title: | On Gröbner bases for flag manifolds F(1, 1, ... , 1, n) | Authors: | Petrović, Zoran Prvulović, Branislav |
Affiliations: | Algebra and Mathematical Logic Topology |
Keywords: | cohomology;flag manifolds;Gröbner bases | Issue Date: | 1-May-2013 | Journal: | Journal of Algebra and its Applications | 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(n 1, 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). © 2013 World Scientific Publishing Company. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/193 | ISSN: | 02194988 | DOI: | 10.1142/S0219498812501824 |
Appears in Collections: | Research outputs |
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