Year: 2002
Type: article
Abstract: Using the long exact sequence of nonabelian derived functors, an eight term exact sequence of Lie algebra homology with Λ/qΛ coefficients is obtained, where Λ is a ground ring and q is a nonnegative integer.Hopf formulas for the second and third homology of a Lie algebra are proved.The condition for the existence and the description of the universal q-central relative extension of a Lie epimorphism in terms of relative homologies are given.The author would like to thank N.
Author: Emzar Khmaladze
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4414001607