Back to Search
Start Over
On dimension of Schur multiplier of nilpotent Lie algebras II
- Source :
- Asian-European Journal of Mathematics. 10:1750076
- Publication Year :
- 2017
- Publisher :
- World Scientific Pub Co Pte Lt, 2017.
-
Abstract
- Let [Formula: see text] be a non-abelian nilpotent Lie algebra of dimension [Formula: see text] and put [Formula: see text], where [Formula: see text] denotes the Schur multiplier of [Formula: see text]. Niroomand and Russo in 2011 proved that [Formula: see text] and that [Formula: see text] if and only if [Formula: see text], in which [Formula: see text] is the Heisenberg algebra of dimension [Formula: see text] and [Formula: see text] is the abelian [Formula: see text]-dimensional Lie algebra. In the same year, they also classified all nilpotent Lie algebras [Formula: see text] satisfying [Formula: see text] or [Formula: see text]. In this paper, we obtain all nilpotent Lie algebras [Formula: see text] provided that [Formula: see text].
- Subjects :
- Discrete mathematics
Computer Science::Information Retrieval
General Mathematics
Simple Lie group
010102 general mathematics
Astrophysics::Instrumentation and Methods for Astrophysics
Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
Universal enveloping algebra
010103 numerical & computational mathematics
01 natural sciences
Affine Lie algebra
Graded Lie algebra
Combinatorics
Nilpotent Lie algebra
Adjoint representation of a Lie algebra
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
ComputingMethodologies_DOCUMENTANDTEXTPROCESSING
Computer Science::General Literature
0101 mathematics
Nilpotent group
Generalized Kac–Moody algebra
ComputingMilieux_MISCELLANEOUS
Mathematics
Subjects
Details
- ISSN :
- 17937183 and 17935571
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- Asian-European Journal of Mathematics
- Accession number :
- edsair.doi...........016f9f9adb3f8d13901731ab5ca68f49