Adjunction between crossed modules of groups and algebras

作者：Casas J M; Inassaridze N; Khmaladze E; Ladra M^*

来源：Journal of Homotopy and Related Structures, 2014, 9(1): 223-237.

DOI：10.1007/s40062-013-0073-0

• Crossed module
• Group
• Associative algebra
• Universal enveloping algebra
• Adjoint functors

We construct a pair of adjoint functors between the categories of crossed modules of groups and associative algebras and establish an equivalence of categories between module structures over a crossed module of groups and its respective crossed module of associative algebras.

• 出版日期2014