Schubert Calculus on a Grassmann Algebra

Details Schubert Calculus on a Grassmann Algebra Schubert Calculus on a Grassmann Algebra

2007-02-26

arxiv.org/abs/math/0702759v1

Mathematics

Algebraic Geometry

12 pages, no figures; to appear on Canadian J. Math

Scientific paper

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 $k$.

Affiliated with

Also associated with

No associations

Rating

Schubert Calculus on a Grassmann Algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Schubert Calculus on a Grassmann Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schubert Calculus on a Grassmann Algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-131706