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.
- Bender-knuth involutions
- Dual stable grothendieck polynomials
- Reverse plane partitions
- Symmetric functions