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On the index of certain nilpotent Lie algebras

✍ Scribed by A. N. Panov

Publisher: Springer US
Year: 2009
Tongue: English
Weight: 165 KB
Volume: 161
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-009-9539-3

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In the paper one- and two-dimensional cohomology is compared for finite and infinite nilpotent Lie algebras, with coefficients in the adjoint representation. It turns out that, because the adjoint representation is not a highest weight representation in infinite dimension, the considered cohomology