聚ζ的结构及其在Shuffle和Stuffle代数超越基上的显式表示

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation Pub Date : 2015-06-24 DOI:10.1145/2755996.2756657

V. Bui, G. Duchamp, V. H. N. Minh

{"title":"聚ζ的结构及其在Shuffle和Stuffle代数超越基上的显式表示","authors":"V. Bui, G. Duchamp, V. H. N. Minh","doi":"10.1145/2755996.2756657","DOIUrl":null,"url":null,"abstract":"By an effective construction of pairs of bases in duality in shuffle and quasi-shuffle algebras, we identify the local coordinates of noncommutative generating series of polyzetas which are group-like. Algorithms lead to the ideal of homogeneous polynomial relations, in weight, among polyzetas and their explicit representation on irreducible elements.","PeriodicalId":182805,"journal":{"name":"Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"Structure of Polyzetas and Explicit Representation on Transcendence Bases of Shuffle and Stuffle Algebras\",\"authors\":\"V. Bui, G. Duchamp, V. H. N. Minh\",\"doi\":\"10.1145/2755996.2756657\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By an effective construction of pairs of bases in duality in shuffle and quasi-shuffle algebras, we identify the local coordinates of noncommutative generating series of polyzetas which are group-like. Algorithms lead to the ideal of homogeneous polynomial relations, in weight, among polyzetas and their explicit representation on irreducible elements.\",\"PeriodicalId\":182805,\"journal\":{\"name\":\"Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/2755996.2756657\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/2755996.2756657","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 15

摘要

通过对洗牌代数和拟洗牌代数上的对偶基对的有效构造，我们确定了类群的非交换生成序列的局部坐标。算法导致多项式之间的齐次多项式关系的理想，在权值上，以及它们在不可约元素上的显式表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Structure of Polyzetas and Explicit Representation on Transcendence Bases of Shuffle and Stuffle Algebras

By an effective construction of pairs of bases in duality in shuffle and quasi-shuffle algebras, we identify the local coordinates of noncommutative generating series of polyzetas which are group-like. Algorithms lead to the ideal of homogeneous polynomial relations, in weight, among polyzetas and their explicit representation on irreducible elements.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation

自引率

0.00%

发文量