| Speaker: |
Suchada Pongprasert (Srinakharinwirot University/Sophia University) |
| Title: |
D_5^{(1)} and D_6^{(1)} - Geometric Crystals |
| Date (JST): |
Wed, Feb 08, 2023, 11:00 - 12:00 |
| Place: |
Hybrid |
| Related File: |
2961.pdf
|
| Abstract: |
Let $\mathfrak{g}$ be an affine Lie algebra with index set $I = \{0, 1, 2, \cdots , n\}$ and $\mathfrak{g}^L$ be its Langlands dual. It is conjectured that for each Dynkin node $k \in I \setminus \{0\}$ the affine Lie algebra $\mathfrak{g}$ has a positive geometric crystal. In this talk, I will explain how we construct a positive geometric crystal for the affine Lie algebra $D_5^{(1)}$ corresponding to the Dynkin spin node $k= 5$ and a positive geometric crystal for the affine Lie algebra $D_6^{(1)}$ corresponding to the Dynkin spin node $k= 6$ in the level zero fundamental spin representations. Joint work with Kailash C. Misra.
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