Structure of nilpotent Lie algebras and Lie groups

1976 ◽  
pp. 1-32 ◽  
Author(s):  
Roe William Goodman
Keyword(s):  
Lie Groups ◽  
Lie Algebras ◽  
Nilpotent Lie Algebras

ON COHOMOLOGY OF NILPOTENT SYMPLECTIC LIE ALGEBRAS OF DIM. ≤ 6 AND DEFORMATION OF THOSE OF DIM. ≤ 4

2012 ◽  
Vol 09 (03) ◽  
pp. 1250020
Author(s):  
F. MOUNA ◽  
T. B. BOUETOU ◽  
M. B. NGUIFFO
Keyword(s):  
Lie Groups ◽  
Lie Algebras ◽  
Contact Structures ◽  
Cohomology Groups ◽  
Nilpotent Lie Algebras ◽  
Differential Geom

This work is devoted to the result on symplectic nilpotent Lie algebras classified in a paper by [Y. Khakimdjanov, M. Goze and A. Medina, Symplectic or contact structures on Lie groups, Differential Geom. Appl. 21 (2004) 41–54]. We focus the attention on the investigation of their cohomology groups by using algebra tools. We give also an overview of deformation to those algebras of dim. ≤ 4.

scholarly journals Representations of complex semisimple Lie groups and Lie algebras

1966 ◽  
Vol 72 (3) ◽  
pp. 522-526 ◽  
Author(s):  
K. R. Parthasarathy ◽  
R. Ranga Rao ◽  
V. S. Varadarajan
Keyword(s):  
Lie Groups ◽  
Lie Algebras ◽  
Semisimple Lie Groups ◽  
Complex Semisimple

Central automorphisms of free nilpotent Lie algebras

2017 ◽  
Vol 16 (11) ◽  
pp. 1750205
Author(s):  
Özge Öztekin ◽  
Naime Ekici
Keyword(s):  
Lie Algebras ◽  
Finite Rank ◽  
Characteristic Zero ◽  
Sufficient Conditions ◽  
Nilpotency Class ◽  
Nilpotent Lie Algebra ◽  
Central Automorphism ◽  
Nilpotent Lie Algebras ◽  
Central Automorphisms

Let [Formula: see text] be the free nilpotent Lie algebra of finite rank [Formula: see text] [Formula: see text] and nilpotency class [Formula: see text] over a field of characteristic zero. We give a characterization of central automorphisms of [Formula: see text] and we find sufficient conditions for an automorphism of [Formula: see text] to be a central automorphism.

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