2007/02/26 by Letterio Gatto, Gatto, Letterio, Taíse Santiago +2
Mathematics · #14N15 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG #msc:14N15
paper · pdf · doi:10.48550/arxiv.math/0702759
12 pages, no figures; to appear on Canadian J. Math
arxiv created 2007/02/26 · openalex publication_date 2007/02/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The (\em classical, \em small quantum, \em equivariant) cohomology ring of the grassmannian G(k,n) is generated by certain derivations operating on an exterior algebra of a free module of rank n (\em Schubert Calculus on a Grassmann Algebra). Our main result gives, in a unified way, a presentation of all such cohomology rings in terms of generators and relations. It also provides, by results of Laksov and Thorup, a presentation of the universal splitting algebra of a monic polynomial of degree n into the product of two monic polynomials, one of degree k.