{"title":"自内射Nakayama代数的Hochschild上同调上的Batalin-Vilkovisky代数结构","authors":"Tomohiro Itagaki","doi":"10.55937/sut/1686053151","DOIUrl":null,"url":null,"abstract":"In this paper, we determine a Batalin Vilkovisky algebra structure on the Hochschild cohomology of self-injective Nakayama algebras over an algebraically closed field.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"82 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Batalin-Vilkovisky algebra structures on the Hochschild cohomology of self-injective Nakayama algebras\",\"authors\":\"Tomohiro Itagaki\",\"doi\":\"10.55937/sut/1686053151\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we determine a Batalin Vilkovisky algebra structure on the Hochschild cohomology of self-injective Nakayama algebras over an algebraically closed field.\",\"PeriodicalId\":38708,\"journal\":{\"name\":\"SUT Journal of Mathematics\",\"volume\":\"82 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SUT Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55937/sut/1686053151\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SUT Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55937/sut/1686053151","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Batalin-Vilkovisky algebra structures on the Hochschild cohomology of self-injective Nakayama algebras
In this paper, we determine a Batalin Vilkovisky algebra structure on the Hochschild cohomology of self-injective Nakayama algebras over an algebraically closed field.