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Journal of Lie Theory 25 (2015), No. 1, 091--104
Copyright Heldermann Verlag 2015

The Adjoint Homology of Heisenberg Lie Algebras

María Alejandra Alvarez
Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta 1240000, Chile

By considering the Heisenberg Lie algebra h2n-1 as the nilradical of a parabolic subalgebra p of An, we give a full description of its adjoint homology as a module over a Levi factor of p.

Keywords: Parabolics, nilradical, Heisenberg.

MSC: 17B30, 17B55

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