{"title":"The construction of a E7-like quantum subgroup of SU(3)","authors":"Cain Edie-Michell, Lance Marinelli","doi":"10.1080/00927872.2024.2338216","DOIUrl":"https://doi.org/10.1080/00927872.2024.2338216","url":null,"abstract":"In this short note we construct an embedding of the planar algebra for Rep(Uq(sl3))¯ at q=e2πi124 into the graph planar algebra of di Francesco and Zuber’s candidate graph E412 . Via the graph pl...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"46 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Irreducible graded bimodules over algebras and a Pierce decomposition of the Jacobson radical","authors":"Antonio de França, Irina Sviridova","doi":"10.1080/00927872.2024.2343774","DOIUrl":"https://doi.org/10.1080/00927872.2024.2343774","url":null,"abstract":"It is well known that the ring radical theory can be approached via language of modules. In this work, we present some generalizations of classical results from module theory, in the two-sided and ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"51 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167127","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quotients in super-symmetry: formal supergroup case","authors":"Yuta Takahashi, Akira Masuoka","doi":"10.1080/00927872.2024.2338492","DOIUrl":"https://doi.org/10.1080/00927872.2024.2338492","url":null,"abstract":"We describe the structure of the quotient G/H of a formal supergroup G by its formal sub-supergroup H. This is a consequence which arises as a continuation of the authors’ work (partly with M. Hosh...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"28 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167120","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The unit group of the group ring over ℤn","authors":"Himanshu Setia, Manju Khan","doi":"10.1080/00927872.2024.2343026","DOIUrl":"https://doi.org/10.1080/00927872.2024.2343026","url":null,"abstract":"Let ℤn be the ring of integers modulo n. Let Ct , Em , and Fr,s respectively denote the cyclic group of order t, the elementary abelian 2-group of order 2m , and the abelian group of exponent 4 w...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"18 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140628228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Phùng Hô Hai, João Pedro dos Santos, Phạm Thanh Tâm, Đào Văn Thịnh
{"title":"Prolongation of regular-singular connections on punctured affine line over a Henselian ring","authors":"Phùng Hô Hai, João Pedro dos Santos, Phạm Thanh Tâm, Đào Văn Thịnh","doi":"10.1080/00927872.2024.2314109","DOIUrl":"https://doi.org/10.1080/00927872.2024.2314109","url":null,"abstract":"We generalize Deligne’s equivalence between the categories of regular-singular connections on the formal punctured disk and on the punctured affine line to the case where the base is a strictly Hen...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"49 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140609377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hochschild homology dimension and a class of Hochschild extension algebras of truncated quiver algebras","authors":"Tomohiro Itagaki","doi":"10.1080/00927872.2024.2338486","DOIUrl":"https://doi.org/10.1080/00927872.2024.2338486","url":null,"abstract":"In this paper, we show that higher Hochschild homology groups do not vanish for a class of Hochschild extension algebras of truncated quiver algebras by the standard duality module. Consequently, t...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"100 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140609517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A locally 5-arc transitive graph related to PSU3(8)","authors":"John van Bon","doi":"10.1080/00927872.2024.2339472","DOIUrl":"https://doi.org/10.1080/00927872.2024.2339472","url":null,"abstract":"We construct a locally 5-arc transitive G-graph Δ, where G∈{PSU3(8)⋊C2,PSU3(8)⋊C6} . The corresponding vertex stabilizer amalgams are of local characteristic 3 but are not weak (B, N)-pairs. They a...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"14 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140617756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Capability of nilpotent Lie superalgebras of small dimension","authors":"Rudra Narayan Padhan, Ibrahem Yakzan Hasan, Saudamini Nayak","doi":"10.1080/00927872.2024.2337277","DOIUrl":"https://doi.org/10.1080/00927872.2024.2337277","url":null,"abstract":"In this paper, we define a partially capable Lie superalgebra. As an application, we classify all capable nilpotent Lie superalgebras of dimension less than or equal to five.","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"30 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140609375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Leibniz cohomology with adjoint coefficients","authors":"Shitu Fawaz Jimoh","doi":"10.1080/00927872.2024.2329808","DOIUrl":"https://doi.org/10.1080/00927872.2024.2329808","url":null,"abstract":"With the Poincaré group R3, 1⋊O(3,1) as the model of departure, we focus, for n=p+q, p+q≥4 , on the affine indefinite orthogonal group Rp,q⋊SO(p,q) . Denote by hp, q the Lie algebra of the affine...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"20 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140609389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Twisted relative Rota-Baxter operators on Leibniz conformal algebras","authors":"Shuangjian Guo, Shengxiang Wang","doi":"10.1080/00927872.2024.2337276","DOIUrl":"https://doi.org/10.1080/00927872.2024.2337276","url":null,"abstract":"In this paper, we first investigate some properties of relative Rota-Baxter operators on Leibniz conformal algebras with respect to representations and their connections with Leibniz dendriform con...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"6 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140609398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}