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SUMMARY:The Lie algebra of classical mechanics - Robert McLachlan (Massey 
 University)
DTSTART:20190807T140000Z
DTEND:20190807T150000Z
UID:TALK128518@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Classical mechanical systems are defined by their kineti
 c and potential energies.  They generate a Lie algebra under the canonical
  Poisson bracket which is  useful in geometric integration.  But because t
 he kinetic energy is quadratic in the  momenta\, the Lie algebra obeys ide
 ntities beyond those implied by skew symmetry  and the Jacobi identity. So
 me Poisson brackets\, or combinations of brackets\, are  zero for all choi
 ces of kinetic and potential energy.&nbsp\;  Therefore\, we study and give
  a complete description of  the universal object in this setting\, the &ls
 quo\;Lie algebra of  classical mechanics&rsquo\; modelled on the Lie algeb
 ra generated by kinetic and potential  energy of a simple mechanical syste
 m with respect to the canonical Poisson bracket.</span><br><span>Joint wor
 k with Ander Murua.<br></span><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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