Young wall realizations of level 1 irreducible highest weight and Fock space crystals of quantum affine algebras in type E
| Autor: | Laurie, Duncan |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We construct Young wall models for the crystal bases of level $1$ irreducible highest weight representations and Fock space representations of quantum affine algebras in types $E_{6}^{(1)}$, $E_{7}^{(1)}$ and $E_{8}^{(1)}$. In each case, Young walls consist of coloured blocks stacked inside the relevant Young wall pattern which satisfy a certain combinatorial condition. Moreover the crystal structure is described entirely in terms of adding and removing blocks. Comment: 51 pages, comments very welcome; v2: minor edits; v3: minor correction to {\S}3.2.2 + extended Prop. 3.4 to all affine types |
| Databáze: | arXiv |
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