Pub Date : 2023-12-14DOI: 10.1142/s0219498825501610
Zhijie Dong, Haitao Ma
. In [FMX19], it is proved that the convolution algebra of top Borel-Moore homology on Steinberg variety of type B/C realizes U ( sl θn ), where sl θn is the fixed point subalgebra of involution on sl n . So top Borel-Moore homology of the partial Springer’s fibers gives the representations of U ( sl θn ). In this paper, we study these representations using the Schur-Weyl duality and Springer theory.
.在 [FMX19] 中，证明了 B/C 型 Steinberg 变上的顶 Borel-Moore 同调的卷积代数实现了 U ( sl θn ) ，其中 sl θn 是 sl n 上反卷的定点子代数。因此，部分斯普林格的顶玻尔-摩尔同调给出了 U ( sl θn ) 的表示。在本文中，我们将利用舒尔-韦尔对偶性和斯普林格理论来研究这些表示。
{"title":"A type C study of braverman-gaitsgory-ginzburg'sconstruction of sln representations","authors":"Zhijie Dong, Haitao Ma","doi":"10.1142/s0219498825501610","DOIUrl":"https://doi.org/10.1142/s0219498825501610","url":null,"abstract":". In [FMX19], it is proved that the convolution algebra of top Borel-Moore homology on Steinberg variety of type B/C realizes U ( sl θn ), where sl θn is the fixed point subalgebra of involution on sl n . So top Borel-Moore homology of the partial Springer’s fibers gives the representations of U ( sl θn ). In this paper, we study these representations using the Schur-Weyl duality and Springer theory.","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138973185","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 : 2023-12-14DOI: 10.1142/s0219498825501646
Ali Taghavi
{"title":"Non-linear Jordan Triple *-Derivation on Prime *-Algebras","authors":"Ali Taghavi","doi":"10.1142/s0219498825501646","DOIUrl":"https://doi.org/10.1142/s0219498825501646","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139002628","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 : 2023-12-14DOI: 10.1142/s0219498825501683
A. R. Aliabad, M. Ghoulipour, M. Paimann
{"title":"Variations of primeness of ideals in rings of continuous functions","authors":"A. R. Aliabad, M. Ghoulipour, M. Paimann","doi":"10.1142/s0219498825501683","DOIUrl":"https://doi.org/10.1142/s0219498825501683","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139002941","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 : 2023-12-14DOI: 10.1142/s0219498825501592
Yong Deng, Quanguo Chen, Dingguo Wang
{"title":"Partial actions of sweedler hopf algebra on generalized quaternion algebra","authors":"Yong Deng, Quanguo Chen, Dingguo Wang","doi":"10.1142/s0219498825501592","DOIUrl":"https://doi.org/10.1142/s0219498825501592","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139002318","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 : 2023-12-14DOI: 10.1142/s0219498825501671
Lin Yang, Miao-Miao Ren, Ling-Li Zeng
{"title":"Tropical matrix groups and Boolean matrix groups","authors":"Lin Yang, Miao-Miao Ren, Ling-Li Zeng","doi":"10.1142/s0219498825501671","DOIUrl":"https://doi.org/10.1142/s0219498825501671","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138974896","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 : 2023-12-14DOI: 10.1142/s0219498825501609
E. Ghashghaei, M. Tamer Kosan, T. C. Quynh, L. Van Thuyet
{"title":"A look at FPF rings","authors":"E. Ghashghaei, M. Tamer Kosan, T. C. Quynh, L. Van Thuyet","doi":"10.1142/s0219498825501609","DOIUrl":"https://doi.org/10.1142/s0219498825501609","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138974173","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 : 2023-12-14DOI: 10.1142/s0219498825501622
Yuanyuan Zhang, Huhu Zhang, Xing Gao
{"title":"Free Ω-rota-baxter systems and grobner-shirshov bases","authors":"Yuanyuan Zhang, Huhu Zhang, Xing Gao","doi":"10.1142/s0219498825501622","DOIUrl":"https://doi.org/10.1142/s0219498825501622","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138973329","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 : 2023-12-14DOI: 10.1142/s0219498825501658
Jiangtao Shi, Yifan Liu
{"title":"On finite groups in which every non-nilpotent maximal invariant subgroup is normal","authors":"Jiangtao Shi, Yifan Liu","doi":"10.1142/s0219498825501658","DOIUrl":"https://doi.org/10.1142/s0219498825501658","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138972537","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 : 2023-11-30DOI: 10.1142/s0219498825501555
Fitriani, Indah Emilia Wijayanti, Ahmad Faisol, Shakir Ali
{"title":"On f-Derivations on Polynomial Modules","authors":"Fitriani, Indah Emilia Wijayanti, Ahmad Faisol, Shakir Ali","doi":"10.1142/s0219498825501555","DOIUrl":"https://doi.org/10.1142/s0219498825501555","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139203227","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 : 2023-11-28DOI: 10.1142/s021949882592001x
Mohsen Amiri
{"title":"Erratum and Addendum: Finite solvable groups with a nilpotent normal complement subgroup","authors":"Mohsen Amiri","doi":"10.1142/s021949882592001x","DOIUrl":"https://doi.org/10.1142/s021949882592001x","url":null,"abstract":"","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139218762","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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