{"title":"单体、动力学和勒维路径代数","authors":"Gene Abrams, Roozbeh Hazrat","doi":"arxiv-2409.00289","DOIUrl":null,"url":null,"abstract":"Leavitt path algebras, which are algebras associated to directed graphs, were\nfirst introduced about 20 years ago. They have strong connections to such\ntopics as symbolic dynamics, operator algebras, non-commutative geometry,\nrepresentation theory, and even chip firing. In this article we invite the\nreader to sneak a peek at these fascinating algebras and their interplay with\nseveral seemingly disparate parts of mathematics.","PeriodicalId":501136,"journal":{"name":"arXiv - MATH - Rings and Algebras","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Monoids, dynamics and Leavitt path algebras\",\"authors\":\"Gene Abrams, Roozbeh Hazrat\",\"doi\":\"arxiv-2409.00289\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Leavitt path algebras, which are algebras associated to directed graphs, were\\nfirst introduced about 20 years ago. They have strong connections to such\\ntopics as symbolic dynamics, operator algebras, non-commutative geometry,\\nrepresentation theory, and even chip firing. In this article we invite the\\nreader to sneak a peek at these fascinating algebras and their interplay with\\nseveral seemingly disparate parts of mathematics.\",\"PeriodicalId\":501136,\"journal\":{\"name\":\"arXiv - MATH - Rings and Algebras\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Rings and Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.00289\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.00289","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Leavitt path algebras, which are algebras associated to directed graphs, were
first introduced about 20 years ago. They have strong connections to such
topics as symbolic dynamics, operator algebras, non-commutative geometry,
representation theory, and even chip firing. In this article we invite the
reader to sneak a peek at these fascinating algebras and their interplay with
several seemingly disparate parts of mathematics.