Young wall construction of level-1 highest weight crystals over $U_q(D_4^{(3)})$ and $U_q(G_2^{(1)})$
| Autor: | Fan, Zhaobing, Han, Shaolong, Kang, Seok-Jin, Shin, Yong-Su |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | With the help of path realization and affine energy function, we give a Young wall construction of level-1 highest weight crystals $B(\lambda)$ over $U_{q}(G_{2}^{(1)})$ and $U_{q}(D_{4}^{(3)})$. Our construction is based on four different shapes of colored blocks, $\mathbf O$-block, $\mathbf I$-block, $\mathbf L$-block and $\mathbf{LL}$-block, obtained by cutting the unit cube in three different ways. |
| Databáze: | arXiv |
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