Stable Grothendieck polynomials and K-theoreticfactor sequences

Anders Skovsted Buch, Andrew Kresch, Mark Shimozono, Harry Tamvakis, Alexander Ng Tengfat Yong

Research output: Contribution to conferencePaperpeer-review

Abstract

We give a nonrecursive combinatorial formula for the expansion of a stable Grothendieck polynomial in the basis of stable Grothendieck polynomials for partitions. The proof is based on a generalization of the Edelman- Greene insertion algorithm. This result is applied to prove a number of formulas and properties for K-theoretic quiver polynomials and Grothendieck polynomials. In particular we formulate and prove a K-theoretic analogue of Buch and Fulton's factor sequence formula for the cohomological quiver polynomials.

Original languageEnglish (US)
Pages77-88
Number of pages12
StatePublished - Dec 1 2005
Externally publishedYes
Event17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05 - Taormina, Italy
Duration: Jun 20 2005Jun 25 2005

Other

Other17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05
Country/TerritoryItaly
CityTaormina
Period6/20/056/25/05

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint

Dive into the research topics of 'Stable Grothendieck polynomials and K-theoreticfactor sequences'. Together they form a unique fingerprint.

Cite this