Open AccessExamples of S—expansions of Lie Algebras
Author(s) -
G. Javier Rosales
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012067
Subject(s) - dimension (graph theory) , mathematics , lie algebra , pure mathematics , adjoint representation of a lie algebra , algebra over a field , lie conformal algebra , killing form , representation of a lie group , non associative algebra
In this note, we give examples of S —expansions of Lie algebras of finite and infinite dimension. For the finite dimensional case, we expand all real three-dimensional Lie algebras. In the case of infinite dimension, we perform contractions obtaining new Lie algebras of infinite dimension.