Stable Grothendieck polynomials and K-theoreticfactor sequences

Anders Skovsted Buch; Andrew Kresch; Mark Shimozono; Harry Tamvakis; Alexander Yong

Stable Grothendieck polynomials and K-theoreticfactor sequences

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

Research output: Contribution to conference › Paper › peer-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 language	English (US)
Pages	77-88
Number of pages	12
State	Published - 2005
Externally published	Yes
Event	17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05 - Taormina, Italy Duration: Jun 20 2005 → Jun 25 2005

Other

Other	17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05
Country/Territory	Italy
City	Taormina
Period	6/20/05 → 6/25/05

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Cite this

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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.",

author = "Buch, {Anders Skovsted} and Andrew Kresch and Mark Shimozono and Harry Tamvakis and Alexander Yong",

year = "2005",

language = "English (US)",

pages = "77--88",

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T1 - Stable Grothendieck polynomials and K-theoreticfactor sequences

AU - Buch, Anders Skovsted

AU - Kresch, Andrew

AU - Shimozono, Mark

AU - Tamvakis, Harry

AU - Yong, Alexander

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

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M3 - Paper

AN - SCOPUS:84861112462

SP - 77

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T2 - 17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05

Y2 - 20 June 2005 through 25 June 2005

ER -

Stable Grothendieck polynomials and K-theoreticfactor sequences

Abstract

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All Science Journal Classification (ASJC) codes

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