Geodesic
Schubert Calculus on a Grassmann Algebra
Canadian mathematical bulletin, Tome 52 (2009) no. 2, pp. 200-212

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DOI

The (classical, small quantum, equivariant) cohomology ring of the grassmannian $G\left( k,\,n \right)$ is generated by certain derivations operating on an exterior algebra of a free module of rank $n$ (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. Using results of Laksov and Thorup, it also provides a presentation of the universal factorization algebra of a monic polynomial of degree $n$ into the product of two monic polynomials, one of degree $k$ .
DOI : 10.4153/CMB-2009-023-x
Mots-clés : 14N15, 14M15 
Gatto, Letterio; Santiago, Taíse. Schubert Calculus on a Grassmann Algebra. Canadian mathematical bulletin, Tome 52 (2009) no. 2, pp. 200-212. doi: 10.4153/CMB-2009-023-x
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     title = {Schubert {Calculus} on a {Grassmann} {Algebra}},
     journal = {Canadian mathematical bulletin},
     pages = {200--212},
     year = {2009},
     volume = {52},
     number = {2},
     doi = {10.4153/CMB-2009-023-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-023-x/}
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