On Lie algebra crossed modules

Friedrich Wagemann (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We construct crossed modules for some famous 3-cocycles on the Lie algebra of vector fields on the line, a complex simple Lie algebra, and the group of diffeomorphisms on the circle.

Mots clés: crossed modules; 3-cocycles; Godbillon-Vey cocycle

Domaines: K-théorie et homologie [math.KT]

Friedrich Wagemann. On Lie algebra crossed modules. Communications in Algebra, 2006, 34 (5), pp.1699-1722. ⟨hal-00018972⟩