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.
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页码：1071 / 1099
页数：29
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