Premium
Graded contractions of filiform Lie algebras
Author(s) -
Escobar José M.,
Núñez Valdés Juan,
PérezFernández Pedro
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4785
Subject(s) - mathematics , lie algebra , pure mathematics , dimension (graph theory) , adjoint representation of a lie algebra , graded lie algebra , lie conformal algebra , algebra over a field , killing form , non associative algebra
The study of contractions of Lie algebras is profusely extended in the last decades. In this paper we study the graded contractions of some lower‐dimensional filiform Lie algebras which have not been studied earlier. Particularly, we deal with graded contractions of model filiform Lie algebras of dimension less than or equal to 6 and with the ones of a nonmodel 6‐dimensional filiform Lie algebra.