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New examples of rank one solvable real rigid Lie algebras possessing a nonvanishing Chevalley cohomology.
- Source :
-
Applied Mathematics & Computation . Dec2018, Vol. 339, p431-440. 10p. - Publication Year :
- 2018
-
Abstract
- Abstract The class of rank one solvable Lie algebras possessing a maximal torus t with eigenvalue spectrum spec (t) = (1 , 4 , 5 , … , n + 2) is studied in the context of rigidity. It is shown that from the value n ≥ 18, three isomorphism classes of rigid Lie algebras exist, two of them being algebraically rigid, and the third being geometrically rigid with a two-dimensional cohomology space H 2 (g , g). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 339
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 131730342
- Full Text :
- https://doi.org/10.1016/j.amc.2018.07.036