Nonfiliform characteristically nilpotent Lie algebras
Jose Maria Ancochea-Bermudez, Otto Rutwig Campoamor-Stursberg
Abstract
We construct large families of characteristically nilpotent Lie algebras by considering deformations of the Lie algebra gm,m-14 of type Qn,and which arises as a central extension fo the filiform Lie algebra Ln. By studying the graded cohomology spaces we obtain that the sill algebras are isomorphic to the nilradicals of solvable, complete Lie algebra laws. For extremal cocycles these laws are also rigid. Considering supplementary cocycles we construcy, for dimensions n>8, nonfiliform characteristically nilpotent Lie algebras and show that for certain deformations these are compatible with central extensions.
Create a lesson
Related papers
The E6 normal forms: semisimple deformations, geometry, DT invariants, and the E6,∞ order
Shengyong Pan
A 9-dimensional nilpotent Lie algebra isomorphic to its complex conjugate admitting no real form
Tom De Medts
Projective Differential Moment Invariants from the Viewpoint of Classical Invariant Theory
Leonid Bedratyuk
Global obstruction property and its applications
Weiheng Xia
The rank of 3× 3 matrix multiplication over F2 is 23
Tejasvi Singh Tomar
BiHom-Poisson conformal superalgebras arising from related algebraic structures
BakolÈ Louamou, Ibrahima Bakayoko, Kol BÉatrice Gamou