Multiplication formula for Hernandez and Leclerc's quivers with potentials
| Autor: | Bi, Yingjin |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we study multiplication formula of $F$-polynomial of representations of Hernandez and Leclerc's quivers with potentials. Since the truncated $q$-characters of some real simple modules over a quantum affine group $U_q(\widehat{\mathfrak{g}})$ can be expressed in terms of such $F$-polynomials, one can describe the product of two simple modules over $U_q(\widehat{\mathfrak{g}})$ using this multiplication formula. Comment: There is an error: In section 2. Jacobian algebras do in general NOT enjoy the Ext-symmetry which was crucial for the GLS multiplication formula. Morevor, the generalized preprojective are in general NOT Jacobian algebras because the nilpotency relations of the loops don't come from the potential |
| Databáze: | arXiv |
| Externí odkaz: |
|