Pub Date : 2024-04-26DOI: 10.1080/00927872.2024.2338216
Cain Edie-Michell, Lance Marinelli
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...
在这篇短文中，我们构建了 Rep(Uq(sl3))¯ 在 q=e2πi124 处的平面代数嵌入 di Francesco 和 Zuber 的候选图 E412 的图平面代数。通过图平面代数...
{"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}
Pub Date : 2024-04-26DOI: 10.1080/00927872.2024.2343774
Antonio de França, Irina Sviridova
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 ...
{"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}
Pub Date : 2024-04-22DOI: 10.1080/00927872.2024.2338492
Yuta Takahashi, Akira Masuoka
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...
我们描述了形式超群 G 的形式子超群 H 的商 G/H 的结构。这是作者工作的延续（部分与 M. Hosh...
{"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}
Pub Date : 2024-04-19DOI: 10.1080/00927872.2024.2343026
Himanshu Setia, Manju Khan
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...
让 ℤn 是整数模 n 的环。让 Ct 、Em 和 Fr,s 分别表示阶数为 t 的循环群、阶数为 2m 的初等无性 2 群和指数为 4 的无性群。
{"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}
Pub Date : 2024-04-17DOI: 10.1080/00927872.2024.2314109
Phùng Hô Hai, João Pedro dos Santos, Phạm Thanh Tâm, Đào Văn Thịnh
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...
{"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}
Pub Date : 2024-04-17DOI: 10.1080/00927872.2024.2338486
Tomohiro Itagaki
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...
{"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}
Pub Date : 2024-04-17DOI: 10.1080/00927872.2024.2339472
John van Bon
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...
我们构建了一个局部 5 弧传递 G 图 Δ，其中 G∈{PSU3(8)⋊C2,PSU3(8)⋊C6} 。相应的顶点稳定器汞齐具有局部特征 3，但不是弱（B，N）对。它们...
{"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}
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.
本文定义了部分能烈超代数。作为应用，我们将维数小于或等于五的所有能零的李超代数进行了分类。
{"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}
Pub Date : 2024-04-16DOI: 10.1080/00927872.2024.2329808
Shitu Fawaz Jimoh
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...
{"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}
Pub Date : 2024-04-16DOI: 10.1080/00927872.2024.2337276
Shuangjian Guo, Shengxiang Wang
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...
{"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}
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