From Elements of Lie Symmetries to Lorentz Algebra

2019 ◽  
pp. 10-19
Keyword(s):  
Lie Symmetries ◽  
Lorentz Algebra

scholarly journals Heisenberg Doubles for Snyder-Type Models

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1055
Author(s):  
Stjepan Meljanac ◽  
Anna Pachoł
Keyword(s):  
Phase Space ◽  
Lie Algebra ◽  
Dual Pair ◽  
One Dimension ◽  
Lorentz Algebra ◽  
Explicit Formulae ◽  
Heisenberg Double

A Snyder model generated by the noncommutative coordinates and Lorentz generators closes a Lie algebra. The application of the Heisenberg double construction is investigated for the Snyder coordinates and momenta generators. This leads to the phase space of the Snyder model. Further, the extended Snyder algebra is constructed by using the Lorentz algebra, in one dimension higher. The dual pair of extended Snyder algebra and extended Snyder group is then formulated. Two Heisenberg doubles are considered, one with the conjugate tensorial momenta and another with the Lorentz matrices. Explicit formulae for all Heisenberg doubles are given.

scholarly journals Lie Symmetries of (1+2) Nonautonomous Evolution Equations in Financial Mathematics

Mathematics ◽  
2016 ◽  
Vol 4 (2) ◽  
pp. 34 ◽  
Author(s):  
Andronikos Paliathanasis ◽  
Richard Morris ◽  
Peter Leach
Keyword(s):  
Evolution Equations ◽  
Lie Symmetries ◽  
Financial Mathematics

Lie symmetries for the charge-monopole problem

1985 ◽  
Vol 18 (8) ◽  
pp. L427-L430 ◽  
Author(s):  
I C Moreira ◽  
O M Ritter ◽  
F C Santos
Keyword(s):  
Lie Symmetries

Lie symmetries and invariants for a 2D nonlinear heat equation

2008 ◽  
Vol 68 (8) ◽  
pp. 2261-2268 ◽  
Author(s):  
Rodica Cimpoiasu ◽  
Radu Constantinescu
Keyword(s):  
Heat Equation ◽  
Lie Symmetries ◽  
Nonlinear Heat Equation
Sign in / Sign up

Export Citation Format

Share Document