Geodesic
On the Homology of Free Nilpotent Lie Algebras
Journal of Lie Theory, Tome 12 (2002) no. 2, pp. 309-323

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Zbl   EuDML

Explicit computations of the homology of some complex free nilpotent Lie algebras of small rank r, as modules over the general linear group GL(r, C) are presented. A GL(r, C)-Poincare duality theorem and a stabilization theorem for r approaching infinity are also proved.
Classification : 17B55, 17B01, 17B30
Mots-clés : homology, free nilpotent Lie algebra 
P. Tirao. On the Homology of Free Nilpotent Lie Algebras. Journal of Lie Theory, Tome 12 (2002) no. 2, pp. 309-323. http://geodesic.mathdoc.fr/item/JOLT_2002_12_2_a0/
@article{JOLT_2002_12_2_a0,
     author = {P. Tirao},
     title = {On the {Homology} of {Free} {Nilpotent} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {309--323},
     year = {2002},
     volume = {12},
     number = {2},
     zbl = {1020.17014},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2002_12_2_a0/}
}
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