scholarly journals NON EXISTENCE OF COMPLEX STRUCTURES ON FILIFORM LIE ALGEBRAS

2002 ◽  
Vol 30 (8) ◽  
pp. 3777-3788 ◽  
Author(s):  
Michel Goze ◽  
Elisabeth Remm
Keyword(s):  
Lie Algebras ◽  
Complex Structures ◽  
Filiform Lie Algebras

scholarly journals Links among Characteristically Nilpotent, $C$-Graded and Derived Filiform Lie Algebras

2005 ◽  
Vol 35 (4) ◽  
pp. 1081-1098
Author(s):  
J.C. Benjumea ◽  
F.J. Echarte ◽  
M.C. Márquez ◽  
J. Núñez
Keyword(s):  
Lie Algebras ◽  
Filiform Lie Algebras

scholarly journals Lie algebras with complex structures having nilpotent eigenspaces

2011 ◽  
Vol 30 (2) ◽  
pp. 247-263
Author(s):  
Edson Carlos Licurgo Santos ◽  
Luiz A. B San Martin
Keyword(s):  
Lie Algebras ◽  
Complex Structures

Family of p-Filiform Lie Algebras

1998 ◽  
pp. 93-102 ◽  
Author(s):  
J. M. Cabezas ◽  
J. R. Gómez ◽  
A. Jimenez-Merchán
Keyword(s):  
Lie Algebras ◽  
Filiform Lie Algebras

scholarly journals About Zero Torsion Linear Maps on Lie Algebras

ISRN Algebra ◽  
2011 ◽  
Vol 2011 ◽  
pp. 1-16
Author(s):  
Louis Magnin
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Equivalence Classes ◽  
Explicit Description ◽  
Complex Structures ◽  
Linear Map ◽  
3 Dimensional ◽  
Linear Maps

We prove that any zero torsion linear map on a nonsolvable real Lie algebra is an extension of some CR-structure. We then study the cases of (2, ) and the 3-dimensional Heisenberg Lie algebra . In both cases, we compute up to equivalence all zero torsion linear maps on , and deduce an explicit description of the equivalence classes of integrable complex structures on .

On characteristically nilpotent filiform lie algebras of dimension 9

1995 ◽  
Vol 23 (8) ◽  
pp. 3059-3071 ◽  
Author(s):  
F.J. Castro-Jiménez ◽  
J. Núñez-Valdés
Keyword(s):  
Lie Algebras ◽  
Filiform Lie Algebras

scholarly journals Symplectic, product and complex structures on 3-Lie algebras

2018 ◽  
Vol 508 ◽  
pp. 256-300 ◽  
Author(s):  
Yunhe Sheng ◽  
Rong Tang
Keyword(s):  
Lie Algebras ◽  
Complex Structures

(n– 4)-filiform lie algebras

1999 ◽  
Vol 27 (10) ◽  
pp. 4803-4819 ◽  
Author(s):  
J.M. Cabezas ◽  
J.R. Gómez
Keyword(s):  
Lie Algebras ◽  
Filiform Lie Algebras
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