This article is cited in 8 papers

Differential Lie Modules over Curved Colored Coalgebras and $\infty$-Simplicial Modules

S. V. Lapin


Abstract: The notion of differential Lie module over a curved colored coalgebra is introduced. The homotopy invariance of the structure of differential Lie module over a curved colored coalgebra is proved. The notion of $\infty$-simplicial module is introduced using the construction of a differential Lie module over a curved colored coalgebra and the Koszul duality theory for quadratic-scalar colored algebras. The homotopy invariance of the structure of a $\infty$-simplicial module is proved.

Keywords: differential Lie module, curved colored coalgebra, $\infty$-simplicial module.

UDC: 515.14

Received: 03.09.2013

DOI: 10.4213/mzm10371

 English version: Mathematical Notes, 2014, 96:5, 698–715

Bibliographic databases:

• 
• 
• 
• 
• 
•