On the String Lie Algebra

被引：2

作者：

Riviere, Salim ^{[1
]}

Wagemann, Friedrich ^{[2
]}

机构：

[1] Univ Luxembourg, Walferdange, Luxembourg

[2] Univ Nantes, Nantes, France

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2015年 / 18卷 / 04期

关键词：

Crossed modules of Lie algebras; String Lie algebra; Quasi-invariant tensors; Categorification of an r-matrix;

D O I：

10.1007/s10468-015-9533-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an abelian representative for the crossed module associated to the string Lie algebra. We show how to apply this construction in order to define quasi-invariant tensors which serve to categorify the infinitesimal braiding on the category of g-modules given by an r-matrix, following Cirio-Martins.

引用

页码：1071 / 1099

页数：29

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