Lattices of subrepresentations of Lie algebras and their isomorphisms

被引：0
|
作者：
Lashkhi A. [1 ]
Gelashvili T. [1 ]
机构：
[1] Georgian Technical University, Tbilisi
来源：
Journal of Mathematical Sciences | 2008年 / 153卷 / 4期
关键词：
Stable Representation; Projective Geometry; Invertible Element; Lattice Isomorphism; Lower Central Series;
D O I：
10.1007/s10958-008-9135-y
中图分类号：
学科分类号：
摘要：
To obtain the representation (L, R) of Lie algebras over the ring Λ, we construct the lattice of subrepresentations (L, R). Relations between the algebras L and R and the lattice (L, R) are studied. It turns out that in some cases the isomorphism of the lattice (L, R) can be continued so as to obtain a wider sublattice (LλR) consisting of subalgebras of a semidirect product LλR. © 2008 Springer Science+Business Media, Inc.
引用
收藏
页码：518 / 549
页数：31
相关论文
共 50 条
12345