Yangians as Pre-Lie and Tridendriform Algebras

被引：0

作者：

Doikou, Anastasia ^{[1
,2
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh, Midlothian, Scotland

[2] Maxwell Inst Math Sci, Edinburgh, Midlothian, Scotland

来源：

GEOMETRIC METHODS IN PHYSICS XL, WGMP 2022 | 2024年

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1007/978-3-031-62407-0_18

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the rigorous discrete derivations of Dyson series and the Magnus expansion, key links between quantum algebras, tridendriform and preLie algebras are established. This is achieved by examining tensor realizations of quantum groups, such as the Yangian. We show that these realizations can be expressed in terms of tridendriform and pre-Lie algebras actions.

引用

页码：233 / 250

页数：18

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