Algebras and Representation Theory最新文献_第2页

Invertible exterior powers 可逆外幂

IF 0.6 4区数学

Algebras and Representation Theory Pub Date : 2026-03-09 DOI: 10.1007/s10468-025-10374-1

Kevin Coulembier

引用次数: 0

On Poisson Conformal Bialgebras 关于泊松共形双代数

IF 0.6 4区数学

Algebras and Representation Theory Pub Date : 2026-03-06 DOI: 10.1007/s10468-026-10387-4

Yanyong Hong, Chengming Bai

引用次数: 0

Imaginary Modules Arising from Tensor Products of Snake Modules 由Snake模的张量积产生的虚模

IF 0.6 4区数学

Algebras and Representation Theory Pub Date : 2026-03-03 DOI: 10.1007/s10468-026-10385-6

Matheus Brito, Adriano Moura

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引用次数: 0

Thick Subcategories on Weighted Projective Curves and Nilpotent Representations of Quivers 加权投影曲线上的粗子范畴与颤振的幂零表示

IF 0.6 4区数学

Algebras and Representation Theory Pub Date : 2026-02-24 DOI: 10.1007/s10468-026-10386-5

Alexey Elagin

{"title":"Thick Subcategories on Weighted Projective Curves and Nilpotent Representations of Quivers","authors":"Alexey Elagin","doi":"10.1007/s10468-026-10386-5","DOIUrl":"10.1007/s10468-026-10386-5","url":null,"abstract":"<div>We continue the study of thick triangulated subcategories, started by Valery Lunts and the author in “Thick subcategories on curves”, and consider thick subcategories in the derived category of coherent sheaves on a weighted projective curve and the corresponding abelian thick subcategories. Our main result is that any thick subcategory on a weighted projective curve either is equivalent to the derived category of nilpotent representations of some quiver (we call such categories quiver-like) or is the orthogonal subcategory to an exceptional collection of torsion sheaves (we call such subcategories big). We examine the structure of thick subcategories: in particular, for weighted projective lines, we prove that any admissible subcategory is generated by an exceptional collection and any exceptional collection is a part of a full one. We show that the derived categories of weighted projective curves satisfy the Jordan–Hölder property and do not contain phantoms. Finally, we extend and simplify results from loc. cit., providing sufficient criteria for a triangulated or abelian category to be quiver-like.</div>","PeriodicalId":50825,"journal":{"name":"Algebras and Representation Theory","volume":"29 2","pages":"495 - 534"},"PeriodicalIF":0.6,"publicationDate":"2026-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10468-026-10386-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147752454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Derived Equivalences for the Derived Discrete Algebras are Standard 派生离散代数的派生等价是标准的

IF 0.6 4区数学

Algebras and Representation Theory Pub Date : 2026-02-19 DOI: 10.1007/s10468-026-10381-w

Grzegorz Bobiński, Tomasz Ciborski

引用次数: 0

Bases and Symmetric Structure Of Alternating Cyclotomic Hecke Algebras 交替环切Hecke代数的基与对称结构

IF 0.6 4区数学

Algebras and Representation Theory Pub Date : 2026-02-16 DOI: 10.1007/s10468-026-10376-7

Jun Hu, Xiaolin Shi, Shixuan Wang

引用次数: 0

The Transfer Maps for the Cohomology Rings of Block Ideals with Wreathed Defect Groups 具有缠绕缺陷群的块理想上同环的迁移映射

IF 0.6 4区数学

Algebras and Representation Theory Pub Date : 2026-02-13 DOI: 10.1007/s10468-025-10372-3

Hiroki Sasaki

{"title":"The Transfer Maps for the Cohomology Rings of Block Ideals with Wreathed Defect Groups","authors":"Hiroki Sasaki","doi":"10.1007/s10468-025-10372-3","DOIUrl":"10.1007/s10468-025-10372-3","url":null,"abstract":"<div>Let G be a finite group. We investigate the cohomology ring (H^*(G,b;A)) of a block ideal b of the finite group algebra kG, where k is an algebraically close field of characteristic p and A is a source algebra of b. The author expected in Sasaki (Algebr. Represent. Theory 16, 1039–1049, 2013) that, P being its defect group, the image of the transfer map (t_A) of the cohomology ring (H^*(P,k)) induced by A coincides with (H^*(G,b;A)): (text {Im} t_A=H^*(G,b;A)). This expectation has previously been settled in Sasaki (Hokkaido Math. J. 53, 443–462, 2024) for blocks of tame representation type and blocks with extraspecial p-groups as P. In this note, we prove that this expectation holds for b whose defect group P is isomorphic to a wreathed 2-group. The proof relies on prior works Okuyama and Sasaki (Algebr. Represent. Theory 4, 405–444, 2001; J. Algebra 497, 92–101, 2018), Kawai and Sasaki (J. Algebra 306(2), 301–321, 2006), and Sasaki (J. Algebra 666, 777–793, 2025).</div>","PeriodicalId":50825,"journal":{"name":"Algebras and Representation Theory","volume":"29 1","pages":"161 - 182"},"PeriodicalIF":0.6,"publicationDate":"2026-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147338750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Delooping Levels Delooping关卡

IF 0.6 4区数学

Algebras and Representation Theory Pub Date : 2026-02-13 DOI: 10.1007/s10468-026-10380-x

Marcos Barrios, Marcelo Lanzilotta, Gustavo Mata

引用次数: 0

Trivial Extensions of Monomial Algebras are Symmetric Fractional Brauer Configuration Algebras 单项式代数的平凡扩展是对称分数阶Brauer组态代数

IF 0.6 4区数学

Algebras and Representation Theory Pub Date : 2026-02-13 DOI: 10.1007/s10468-026-10378-5

Yuming Liu, Bohan Xing

引用次数: 0

On Commutative Tensor Factors of Group Algebras 群代数的交换张量因子