A Structure Theorem for Leibniz Homology
Representation Theory
2013-08-13 v1 K-Theory and Homology
Abstract
Presented is a structure theorem for the Leibniz Homology, HL_*, of an Abelian extension of a simple real Lie algebra g. As applications, results are stated for affine extensions of the classical Lie algebras sl_n(R), so_n(R), and sp_n(R). Furthermore, HL_*(h) is calculated when h is the Lie algebra of the Poincare group as well as the Lie algebra of the affine Lorentz group. The general theorem identifies all of these in terms of g-invariants.
Cite
@article{arxiv.1104.0972,
title = {A Structure Theorem for Leibniz Homology},
author = {Jerry Lodder},
journal= {arXiv preprint arXiv:1104.0972},
year = {2013}
}
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21 pages