Lagrangian subvarieties of hyperspherical varieties related to $G_2$
| Autor: | Kononenko, Nikolay |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We consider two $S$-dual hyperspherical varieties of the group $G_2 \times \text{SL}(2)$: an equivariant slice for $G_2$, and the symplectic representation of $G_2 \times \text{SL}_2$ in the odd part of the basic classical Lie superalgebra $\mathfrak{g}(3)$. For these varieties we check the equality of numbers of irreducible components of their Lagrangian subvarieties (zero levels of the moment maps of Borel subgroups' actions) conjectured in arXiv:2310.19770. |
| Databáze: | arXiv |
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