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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The Lie algebra of classical mechanics - Robert Mc
Lachlan (Massey University)
DTSTART;TZID=Europe/London:20190807T150000
DTEND;TZID=Europe/London:20190807T160000
UID:TALK128515AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/128515
DESCRIPTION:Classical mechanical systems are defined by
their kinetic and potential energies. They genera
te a Lie algebra under the canonical Poisson brack
et which is useful in geometric integration. But
because the kinetic energy is quadratic in the m
omenta\, the Lie algebra obeys identities beyond t
hose implied by skew symmetry and the Jacobi iden
tity. Some Poisson brackets\, or combinations of b
rackets\, are zero for all choices of kinetic and
potential energy. \; Therefore\, we study an
d give a complete description of the universal ob
ject in this setting\, the &lsquo\;Lie algebra of
classical mechanics&rsquo\; modelled on the Lie a
lgebra generated by kinetic and potential energy
of a simple mechanical system with respect to the
canonical Poisson bracket.
Joint w
ork with Ander Murua.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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