scholarly journals Lie Groups Simply Isomorphic with No Linear Group

1987 ◽  
pp. 317-322
Author(s):  
Garrett Birkhoff
Keyword(s):  
Lie Groups ◽  
Linear Group

scholarly journals Fourier transforms of Lipschitz functions on certain Lie groups

2001 ◽  
Vol 27 (7) ◽  
pp. 439-448 ◽  
Author(s):  
M. S. Younis
Keyword(s):  
Lie Groups ◽  
Linear Group ◽  
Fourier Transforms ◽  
Special Linear Group ◽  
Lipschitz Functions ◽  
Special Linear ◽  
Order Of Magnitude ◽  
Real Matrices

We study the order of magnitude of the Fourier transforms of certain Lipschitz functions on the special linear group of real matrices of order two.

On generic complexity of the subset sum problem in monoids and groups of integer matrix of order two

2020 ◽  
Vol 25 (4) ◽  
pp. 10-15
Author(s):  
Alexander Nikolaevich Rybalov
Keyword(s):  
Linear Group ◽  
Modular Group ◽  
Special Linear Group ◽  
Second Order ◽  
Integer Matrix ◽  
Subset Sum ◽  
Algorithmic Problems ◽  
Almost All ◽  
Subset Sum Problems ◽  
Generic Complexity

Generic-case approach to algorithmic problems was suggested by A. Miasnikov, I. Kapovich, P. Schupp and V. Shpilrain in 2003. This approach studies behavior of an algo-rithm on typical (almost all) inputs and ignores the rest of inputs. In this paper, we prove that the subset sum problems for the monoid of integer positive unimodular matrices of the second order, the special linear group of the second order, and the modular group are generically solvable in polynomial time.

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