paper

The Algebra of Schubert Calculus

arXiv:math/0405155

Abstract

A flexible unified framework for both classical and quantum Schubert calculus is proposed. It is based on a natural combinatorial approach relying on the Hasse-Schmidt extension of a certain family of pairwise commuting endomorphisms of an infinite free Z-module M to its exterior algebra.

34 pages, Key words: Quantum Schubert Calculus, Hasse-Schmidt derivations on exterior algebras