The Algebra of Schubert Calculus

Details The Algebra of Schubert Calculus The Algebra of Schubert Calculus

2004-05-09

arxiv.org/abs/math/0405155v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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