The role of solvable groups in quantization of Lie algebras

1997 ◽  
Vol 83 (1) ◽  
pp. 106-112
Author(s):  
V. D. Lyakhovskii
Keyword(s):  
Lie Algebras ◽  
Solvable Groups

Quantum models for decision making and opinion dynamics the role of the Lie algebras

2013 ◽  
Vol 48 (4) ◽  
pp. 1945-1956 ◽  
Author(s):  
C. M. Sarris ◽  
A. N. Proto
Keyword(s):  
Decision Making ◽  
Lie Algebras ◽  
Opinion Dynamics ◽  
Quantum Models

MAXIMAL COMPACT SUBGROUPS IN THE O-MINIMAL SETTING

2013 ◽  
Vol 13 (01) ◽  
pp. 1350004 ◽  
Author(s):  
ANNALISA CONVERSANO
Keyword(s):  
Lie Groups ◽  
Solvable Groups ◽  
Linear Groups ◽  
Maximal Tori ◽  
Definable Groups ◽  
Structural Theorems ◽  
Torsion Free ◽  
The Way

A characterization of groups definable in o-minimal structures having maximal definable definably compact subgroups is given. This follows from a definable decomposition in analogy with Lie groups, where the role of maximal tori is played by maximal 0-subgroups. Along the way we give structural theorems for solvable groups, linear groups, and extensions of definably compact by torsion-free definable groups.

Solvability of Equations in Classes of Solvable Groups and Lie Algebras

2017 ◽  
Vol 56 (3) ◽  
pp. 251-255
Author(s):  
V. A. Roman’kov
Keyword(s):  
Lie Algebras ◽  
Solvable Groups
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