6533b824fe1ef96bd12816f8
RESEARCH PRODUCT
On the Codimension Growth of Finite-Dimensional Lie Algebras
M. ZaicevAntonio GiambrunoAmitai RegevAmitai Regevsubject
Discrete mathematicsPure mathematicsAdjoint representation of a Lie algebraNilpotentAlgebra and Number TheorySimple Lie groupUniversal enveloping algebraKilling formAffine Lie algebraMathematicsLie conformal algebraGraded Lie algebradescription
Abstract We study the exponential growth of the codimensions cn(L) of a finite-dimensional Lie algebra L over a field of characteristic zero. We show that if the solvable radical of L is nilpotent then lim n → ∞ c n ( L ) exists and is an integer.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-10-01 | Journal of Algebra |