Publication: Stable Grothendieck polynomials and K-theoretic factor sequences
Stable Grothendieck polynomials and K-theoretic factor sequences
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Buch, A. S., Kresch, A., Shimozono, M., Tamvakis, H., & Yong, A. (2008). Stable Grothendieck polynomials and K-theoretic factor sequences. Mathematische Annalen, 340, 359–382. https://doi.org/10.1007/s00208-007-0155-6
Abstract
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We formulate a nonrecursive combinatorial rule for the expansion of the stable Grothendieck polynomials of [Fomin-Kirillov '94] in the basis of stable Grothendieck polynomials for partitions. This gives a common generalization, as well as new proofs of the rule of [Fomin-Greene '98] for the expansion of the stable Schubert polynomials into Schur polynomials, and the K-theoretic Grassmannian Littlewood-Richardson rule of [Buch '02]. The proof is based on a generalization of the Robinson-Schensted and Edelman-Greene insertion algorithms
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- Buch, A S
- Kresch, A
- Shimozono, M
- Tamvakis, H
- Yong, A
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Buch, A. S., Kresch, A., Shimozono, M., Tamvakis, H., & Yong, A. (2008). Stable Grothendieck polynomials and K-theoretic factor sequences. Mathematische Annalen, 340, 359–382. https://doi.org/10.1007/s00208-007-0155-6
