{"title":"来自\\(C^{(1)}_\\ell\\) -modules的新分区标识","authors":"S. Capparelli, A. Meurman, Andrej Primc, M. Primc","doi":"10.3336/gm.57.2.01","DOIUrl":null,"url":null,"abstract":"In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type \\(C^{(1)}_\\ell\\), \\(\\ell\\geq2\\), and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"New partition identities from \\\\(C^{(1)}_\\\\ell\\\\)-modules\",\"authors\":\"S. Capparelli, A. Meurman, Andrej Primc, M. Primc\",\"doi\":\"10.3336/gm.57.2.01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type \\\\(C^{(1)}_\\\\ell\\\\), \\\\(\\\\ell\\\\geq2\\\\), and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3336/gm.57.2.01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/gm.57.2.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New partition identities from \(C^{(1)}_\ell\)-modules
In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type \(C^{(1)}_\ell\), \(\ell\geq2\), and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.
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