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Log-concavity of the cohomology of nilpotent Lie algebras in characteristic two

✍ Scribed by Cairns, Grant

Book ID
121844947
Publisher
Ashdin Publishing
Year
2009
Tongue
English
Weight
89 KB
Volume
3
Category
Article
ISSN
1736-5279

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πŸ“œ SIMILAR VOLUMES

On the Cohomology of Infinite Dimensiona
On the Cohomology of Infinite Dimensional Nilpotent Lie Algebras
✍ A. Fialowski πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 289 KB

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

On the product by generators of characte
On the product by generators of characteristically nilpotent Lie S-algebras
✍ JosΓ© Marı́a Ancochea BermΓΊdez; Rutwig Campoamor-Stursberg πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 147 KB

We show that the product by generators preserves the characteristic nilpotence of Lie algebras, provided that the multiplied algebras belongs to the class of S-algebras. In particular, this shows the existence of nonsplit characteristically nilpotent Lie algebras h such that the quotient dim hdim Z(