Refined Dual Stable Grothendieck Polynomials and Generalized Bender-Knuth Involutions
Keyword(s):
K Theory
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The dual stable Grothendieck polynomials are a deformation of the Schur functions, originating in the study of the $K$-theory of the Grassmannian. We generalize these polynomials by introducing a countable family of additional parameters, and we prove that this generalization still defines symmetric functions. For this fact, we give two self-contained proofs, one of which constructs a family of involutions on the set of reverse plane partitions generalizing the Bender-Knuth involutions on semistandard tableaux, whereas the other classifies the structure of reverse plane partitions with entries $1$ and $2$.
2010 ◽
Vol DMTCS Proceedings vol. AN,...
(Proceedings)
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2014 ◽
Vol DMTCS Proceedings vol. AT,...
(Proceedings)
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Keyword(s):
2009 ◽
Vol 148
(3)
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pp. 501-538
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1950 ◽
Vol 2
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pp. 334-343
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Keyword(s):