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math.KT2022
Pre-crossed modules and rack homology
Jacob Mostovoy
We define a homology theory for pre-crossed modules that specifies to rack homology in the case when the pre-crossed module is freely generated by a rack.
math.KT2019
Differential graded Lie algebras and Leibniz algebra cohomology
Jacob Mostovoy
In this note, we interpret Leibniz algebras as differential graded Lie algebras. Namely, we consider two functors from the category of Leibniz algebras to that of differential grad…