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arXiv · 1601.01581

Duality and deformations of stable Grothendieck polynomials

Damir Yeliussizov
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Abstract

Stable Grothendieck polynomials can be viewed as a K-theory analog of Schur polynomials. We extend stable Grothendieck polynomials to a two-parameter version, which we call canonical stable Grothendieck functions. These functions have the same structure constants (with scaling) as stable Grothendieck polynomials, and (composing with parameter switching) are self-dual under the standard involutive ring automorphism. We study various properties of these functions, including combinatorial formulas, Schur expansions, Jacobi-Trudi type identities, and associated Fomin-Greene operators.

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Damir Yeliussizov. 2016-01-07. Duality and deformations of stable Grothendieck polynomials. https://doi.org/10.1007/s10801-016-0708-4

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