Journal article
Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions
The Electronic journal of combinatorics, v 23(3), 3
22 Jul 2016
Abstract
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.
Metrics
Details
- Title
- Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions
- Creators
- Pavel Galashin - Massachusetts Institute of TechnologyDarij Grinberg - Massachusetts Institute of TechnologyGaku Liu - Massachusetts Institute of Technology
- Publication Details
- The Electronic journal of combinatorics, v 23(3), 3
- Publisher
- Electronic Journal Of Combinatorics
- Number of pages
- 28
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000385228200008
- Scopus ID
- 2-s2.0-84979696992
- Other Identifier
- 991021862240304721
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Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics
- Mathematics, Applied