Multiplication formula for Hernandez and Leclerc's quivers with potentials
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914866122457088 |
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| author | Bi, Yingjin |
| author_facet | Bi, Yingjin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11232 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiplication formula for Hernandez and Leclerc's quivers with potentials Bi, Yingjin Representation Theory Quantum Algebra Rings and Algebras 17B37, 13F60, 18D10 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. |
| title | Multiplication formula for Hernandez and Leclerc's quivers with potentials |
| topic | Representation Theory Quantum Algebra Rings and Algebras 17B37, 13F60, 18D10 |
| url | https://arxiv.org/abs/2405.11232 |