Schubert calculus via Hasse-Schmidt derivations

DOI10.4310/AJM.2005.v9.n3.a2zbMath1099.14045arXivmath/0504293OpenAlexW2089109339MaRDI QIDQ2493473

Letterio Gatto

Publication date: 19 June 2006

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504293

zbMATH Keywords

Schubert varietiesChow ringPieri's formulaGiambelli's formulaSchubert derivation

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

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Multivariate Hasse–Schmidt derivation on exterior algebras ⋮ Equivariant Schubert calculus ⋮ Universal factorization algebras of polynomials represent Lie algebras of endomorphisms ⋮ Schubert derivations on the infinite wedge power ⋮ The boson-fermion correspondence from linear ODEs ⋮ Minuscule Schubert Calculus and the Geometric Satake Correspondence ⋮ ``Catalan traffic and integrals on the Grassmannian of lines ⋮ Schubert calculus and equivariant cohomology of Grassmannians ⋮ Tango bundles on Grassmannians ⋮ The cohomology of the Grassmannian is a gl_n-module ⋮ Polynomial ring representations of endomorphisms of exterior powers ⋮ On the vertex operator representation of Lie algebras of matrices ⋮ Families of special Weierstrass points ⋮ Hasse–Schmidt derivations and Cayley–Hamilton theorem for exterior algebras ⋮ Grassmann semialgebras and the Cayley-Hamilton theorem ⋮ From solutions to linear ordinary differential equations to vertex operators ⋮ Bosonic and fermionic representations of endomorphisms of exterior algebras

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