We construct spectral sequences which provide a way to compute the cohomology theory that classifies extensions of graded connected Hopf algebras over a ลฝ . commutative ring as described by William M. Singer. Specifically, for A, B an abelian matched pair of graded connected R-Hopf algebras, we cons
On the Length of the Spectral Sequence of a Lie Algebra Extension, II
โ Scribed by Donald W. Barnes
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 61 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
dedicated to helmut wielandt on his 90th birthday
We show that the length l V of the spectral sequence of a Lie algebra extension acting on a module V with a submodule W is not bounded by any function of the lengths l V/W and l W .
๐ SIMILAR VOLUMES
After having given the classification of solvable rigid Lie algebras of low dimensions, we study the general case concerning rigid Lie algebras whose nilradical is filiform and present their classification.
Let R be a commutative algebra over a field k. We prove two related results on the simplicity of Lie algebras acting as derivations of R. If D is both a Lie subalgebra and R-submodule of Der k R such that R is D-simple and either char k = 2 or D is not cyclic as an R-module or D R = R, then we show