| Speaker: | Go Noshita (UTokyo) |
|---|---|
| Title: | Quiver Quantum Toroidal Algebra and Crystal Representations |
| Date (JST): | Tue, Feb 15, 2022, 14:00 - 15:30 |
| Place: | Zoom |
| Related File: | 2769.pdf |
| Abstract: |
This talk is based on arxiv:2101.03953, 2108.07104, and 2109.02045. We propose a new class of algebras, Quiver Quantum Toroidal Algebra, which is a generalization of the quantum toroidal $\mathfrak{gl}_{1}$. Similar to the quantum toroidal $\mathfrak{gl}_{1}$, the (shifted) quiver quantum toroidal algebra acts on general 1d, 2d, 3d crystals. We also study the way of constructing 2d crystal representations from 1d crystal representations. |
