On the cancellation-free antipode formula for the Malvenuto-Reutenauer Hopf Algebra
| Autor: | Xu, Da, Yu, Houyi |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | European J. Combin.113 (2023) 103745 |
| Druh dokumentu: | Working Paper |
| Popis: | For the Malvenuto-Reutenauer Hopf algebra of permutations, we provide a cancellation-free antipode formula for any permutation of the form $ab1\cdots(b-1)(b+1)\cdots(a-1)(a+1)\cdots n$, which starts with the decreasing sequence $ab$ and ends with the increasing sequence $1\cdots(b-1)(b+1)\cdots(a-1)(a+1)\cdots n$, where $1\leq b |
| Databáze: | arXiv |
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