2005/04/14 by Letterio Gatto, Gatto, Letterio
Mathematics · #14M15 #14N15 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #msc:14M15 #msc:14N15
paper · pdf · doi:10.48550/arxiv.math/0504293
To appear on Asian Journal of Mathematics
arxiv created 2005/04/14 · openalex publication_date 2005/04/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A natural Hasse-Schmidt derivation on the exterior algebra of a free module realizes the (small quantum) cohomology ring of the grassmannian Gk(\CCn) as a ring of operators on the exterior algebra of a free module of rank n. Classical Pieri's formula can be interpreted as Leibniz's rule enjoyed by special Schubert cycles with respect to the wedge product.