Abstract
The dual stable Grothendieck polynomials are a deformation of the Schur func- tions, 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.
Original language | English (US) |
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Journal | Electronic Journal of Combinatorics |
Volume | 23 |
Issue number | 3 |
DOIs | |
State | Published - 2016 |
Bibliographical note
Publisher Copyright:© 2016, Australian National University. All rights reserved.
Keywords
- Bender-knuth involutions
- Dual stable grothendieck polynomials
- Reverse plane partitions
- Symmetric functions