Journal of Lie Theory

no. 2
On the Homology of Free Nilpotent Lie Algebras
Journal of Lie Theory, Volume 12 (2002) no. 2, pp. 309-323
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.
DOI: 10.5802/jolt.266
Classification: 17B55, 17B01, 17B30
Keywords: homology, free nilpotent Lie algebra 
@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},
     doi = {10.5802/jolt.266},
     zbl = {1020.17014},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.266/}
}
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P. Tirao. On the Homology of Free Nilpotent Lie Algebras. Journal of Lie Theory, Volume 12 (2002) no. 2, pp. 309-323. doi: 10.5802/jolt.266

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