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| Main Author: | |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2002.01384 |
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| _version_ | 1866917880153505792 |
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| author | Hawkes, Graham |
| author_facet | Hawkes, Graham |
| contents | The symmetric Grothendieck polynomials generalize Schur polynomials and are Schur-positive by degree. Combinatorially this is manifested as the generalization of semistandard Young tableaux by set-valued tableaux. We define a (weak) symmetric $P$-Grothendieck polynomial which generalizes $P$-Schur polynomials in the same way. Combinatorially this is manifested as the generalization of shifted semistandard Young tableaux by a new type of tableaux which we call shifted multiset tableaux. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_01384 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | $P$-Schur positive $P$-Grothendieck Polynomials Hawkes, Graham Combinatorics The symmetric Grothendieck polynomials generalize Schur polynomials and are Schur-positive by degree. Combinatorially this is manifested as the generalization of semistandard Young tableaux by set-valued tableaux. We define a (weak) symmetric $P$-Grothendieck polynomial which generalizes $P$-Schur polynomials in the same way. Combinatorially this is manifested as the generalization of shifted semistandard Young tableaux by a new type of tableaux which we call shifted multiset tableaux. |
| title | $P$-Schur positive $P$-Grothendieck Polynomials |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2002.01384 |