Unified framework for tableau models of Grothendieck polynomials
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909442439643136 |
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| author | Hawkes, Graham |
| author_facet | Hawkes, Graham |
| contents | We give combinatorial proofs of two types of duality for Grothendieck polynomials by constructing a unified combinatorial framework incorporating set-valued tableaux, musltiset-valued tableaux, reverse plane partitions and valued-set tableaux. Importantly, our proofs extend to proofs of these dualities for the refined Grothendieck polynomials. The second of these dualities was formerly unknown for the refined case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_00522 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Unified framework for tableau models of Grothendieck polynomials Hawkes, Graham Combinatorics We give combinatorial proofs of two types of duality for Grothendieck polynomials by constructing a unified combinatorial framework incorporating set-valued tableaux, musltiset-valued tableaux, reverse plane partitions and valued-set tableaux. Importantly, our proofs extend to proofs of these dualities for the refined Grothendieck polynomials. The second of these dualities was formerly unknown for the refined case. |
| title | Unified framework for tableau models of Grothendieck polynomials |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2108.00522 |