A row analogue of Hecke column insertion
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866916263032258560 |
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| author | Huang, Daoji Shimozono, Mark Yu, Tianyi |
| author_facet | Huang, Daoji Shimozono, Mark Yu, Tianyi |
| contents | We introduce a new row insertion algorithm on decreasing tableaux and increasing tableaux, generalizing Edelman-Greene (EG) row insertion. Our row insertion algorithm is a nontrivial variation of Hecke column insertion which generalizes EG column insertion. Similar to Hecke column insertion, our row insertion is bijective and respects Hecke equivalence, and therefore recovers the expansions of stable Grothendieck functions into Grassmannian stable Grothendieck functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_02993 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A row analogue of Hecke column insertion Huang, Daoji Shimozono, Mark Yu, Tianyi Combinatorics 05E05 We introduce a new row insertion algorithm on decreasing tableaux and increasing tableaux, generalizing Edelman-Greene (EG) row insertion. Our row insertion algorithm is a nontrivial variation of Hecke column insertion which generalizes EG column insertion. Similar to Hecke column insertion, our row insertion is bijective and respects Hecke equivalence, and therefore recovers the expansions of stable Grothendieck functions into Grassmannian stable Grothendieck functions. |
| title | A row analogue of Hecke column insertion |
| topic | Combinatorics 05E05 |
| url | https://arxiv.org/abs/2211.02993 |