{"title":"Finite W-algebra invariants via Lax type operators","authors":"Jonathan Brown","doi":"10.1016/j.jalgebra.2025.03.019","DOIUrl":null,"url":null,"abstract":"<div><div>We use variations on Lax type operators to find explicit formulas for certain elements of finite <em>W</em>-algebras. These give a complete set of generators for all finite <em>W</em>-algebras of types B, C, D for which the Dynkin grading is even.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"676 ","pages":"Pages 1-26"},"PeriodicalIF":0.8000,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869325001498","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We use variations on Lax type operators to find explicit formulas for certain elements of finite W-algebras. These give a complete set of generators for all finite W-algebras of types B, C, D for which the Dynkin grading is even.
期刊介绍:
The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.