Finite-Dimensional Subalgebras In Polynomial Lie Algebras Of Rank One
β Scribed by I.V. Arzhantsev; E. A. Makedonskii; A. P. Petravchuk
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 171 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0041-5995
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let L be a finitely generated Lie p-algebra over a finite field F. Then the number, a n L , of p-subalgebras of finite codimension n in L is finite. We say that L has PSG (polynomial p-subalgebras growth) if the growth of a n L is bounded above by some polynomial in F n . We show that if L has PSG t
We study the exponential growth of the codimensions c L of a finite-dimenn sional Lie algebra L over a field of characteristic zero. We show that if the n solvable radical of L is nilpotent then lim c L exists and is an integer.