Courant Algebroids. A Short History

被引：19

作者：

Kosmann-Schwarzbach, Yvette ^{[1
]}

机构：

[1] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2013年 / 9卷

关键词：

Courant algebroid; Dorfman bracket; Lie algebroid; Lie bialgebroid; generalized geometry; Dirac structure; Loday algebra; Leibniz algebra; derived bracket; DOUBLE LIE ALGEBROIDS; GERSTENHABER ALGEBRAS; 2ND-ORDER GEOMETRY; POISSON GROUPOIDS; EHRESMANN DOUBLES; DRINFELD DOUBLES; DIRAC STRUCTURES; BIALGEBROIDS; MANIFOLDS; FORMULATION;

D O I：

10.3842/SIGMA.2013.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a "double" for Lie bialgebroids led to the definition of Courant algebroids. We recount the emergence of these concepts.

引用

页数：8

共 56 条

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