We consider the Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs of Schur polynomials. This paper aims to establish a version of the Murnaghan-Nakayama rule for Grothendieck polynomials of the Grassmannian type. This rule allows us to express the product of a Grothendieck polynomial with a power sum symmetric polynomial into a linear combination of other Grothendieck polynomials.Comment: 12 pages, 7 figure
We study multiplication of any Schubert polynomial S[subscript w] by a Schur polynomial sλ (the Schu...
AbstractWe introduce a family of tableaux that simultaneously generalizes the tableaux used to chara...
We give a presentation of refined (dual) canonical Grothendieck polynomials and their skew versions ...
We consider Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs ...
We consider Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs ...
AbstractWe introduce a family of tableaux that simultaneously generalizes the tableaux used to chara...
International audienceThe problem of computing products of Schubert classes in the cohomology ring c...
In this paper, we study Grothendieck polynomials indexed by Grassmannian permutations from a combina...
AbstractThis paper studies a family of polynomials called key polynomials, introduced by Demazure an...
International audienceThe dual stable Grothendieck polynomials are a deformation of the Schur functi...
Abstract. We formulate a nonrecursive combinatorial rule for the expansion of the stable Grothendiec...
AbstractWe prove an elegant combinatorial rule for the generation of Schubert polynomials based on b...
AbstractWe derive an explicit formula, with no cancellations, for expanding in the basis of Grothend...
Schubert structure coefficients $c_{u,v}^w$ describe the multiplicative structure of the cohomology ...
Abstract: We prove an elegant combinatorial rule for the generation of Schubert polynomials based on...
We study multiplication of any Schubert polynomial S[subscript w] by a Schur polynomial sλ (the Schu...
AbstractWe introduce a family of tableaux that simultaneously generalizes the tableaux used to chara...
We give a presentation of refined (dual) canonical Grothendieck polynomials and their skew versions ...
We consider Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs ...
We consider Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs ...
AbstractWe introduce a family of tableaux that simultaneously generalizes the tableaux used to chara...
International audienceThe problem of computing products of Schubert classes in the cohomology ring c...
In this paper, we study Grothendieck polynomials indexed by Grassmannian permutations from a combina...
AbstractThis paper studies a family of polynomials called key polynomials, introduced by Demazure an...
International audienceThe dual stable Grothendieck polynomials are a deformation of the Schur functi...
Abstract. We formulate a nonrecursive combinatorial rule for the expansion of the stable Grothendiec...
AbstractWe prove an elegant combinatorial rule for the generation of Schubert polynomials based on b...
AbstractWe derive an explicit formula, with no cancellations, for expanding in the basis of Grothend...
Schubert structure coefficients $c_{u,v}^w$ describe the multiplicative structure of the cohomology ...
Abstract: We prove an elegant combinatorial rule for the generation of Schubert polynomials based on...
We study multiplication of any Schubert polynomial S[subscript w] by a Schur polynomial sλ (the Schu...
AbstractWe introduce a family of tableaux that simultaneously generalizes the tableaux used to chara...
We give a presentation of refined (dual) canonical Grothendieck polynomials and their skew versions ...