JOURNAL ARTICLE
Gröbner bases for complex Grassmann manifolds
Year: 2011 Journal: Publications de l Institut Mathematique Vol: 90 (104)Pages: 23-46
Abstract
By Borel?s description, integral cohomology of the complex Grassmann manifold Gk,n is a polynomial algebra modulo a well-known ideal. A strong Gr?bner basis for this ideal is obtained when k = 2 and k = 3.
Keywords:
Mathematics Modulo Ideal (ethics) Pure mathematics Exterior algebra Cohomology Algebra over a field Grassmannian Manifold (fluid mechanics) Polynomial Basis (linear algebra) Discrete mathematics Mathematical analysis Geometry
Metrics
3
Cited By
0.56
FWCI (Field Weighted Citation Impact)
4
Refs
0.62
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
Homotopy and Cohomology in Algebraic Topology
Physical Sciences → Mathematics → Mathematical Physics
Advanced Differential Equations and Dynamical Systems
Physical Sciences → Mathematics → Geometry and Topology
Related Documents
JOURNAL ARTICLE
Gröbner bases of oriented Grassmann manifolds
Journal: Homology Homotopy and Applications Year: 2008 Vol: 10 (2)Pages: 195-209
JOURNAL ARTICLE
Cup-length of oriented Grassmann manifolds via Gröbner bases
Uroš A. ColovićBranislav I. Prvulović
Journal: Journal of Algebra Year: 2023 Vol: 642 Pages: 256-285
JOURNAL ARTICLE
Gröbner Bases in Clifford and Grassmann algebras
Journal: Journal of Symbolic Computation Year: 1995 Vol: 20 (2)Pages: 197-205
JOURNAL ARTICLE
Gröbner bases for (partial) flag manifolds
Zoran Z. PetrovićBranislav I. PrvulovićMarko Radovanović
Journal: Journal of Symbolic Computation Year: 2019 Vol: 101 Pages: 90-108
JOURNAL ARTICLE
Gröbner–Shirshov bases for Seifert manifolds
Journal: Journal of Knot Theory and Its Ramifications Year: 2025