Stable Grothendieck Polynomials and K-theoretic Factor Sequences
نویسندگان
چکیده
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 EdelmanGreene 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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تاریخ انتشار 2004