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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Introduction to Lie groups and algebras - 1 - Eliz
abeth Mansfield (University of Kent)
DTSTART;TZID=Europe/London:20190708T140000
DTEND;TZID=Europe/London:20190708T150000
UID:TALK126970AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/126970
DESCRIPTION:In this series of three lectures\, I will give a g
entle introduction to Lie groups and their associa
ted Lie algebras\, concentrating on the major exam
ples of importance in applications. I will next di
scuss Lie group actions\, their invariants\, their
associated infinitesimal vector fields\, and a li
ttle on moving frames. The final topic will be Noe
ther&rsquo\;s Theorem\, which yields conservations
laws for variational problems which are invariant
under a Lie group action. Time permitting\, I wi
ll show a little of the finite difference and fini
te element versions of Noether&rsquo\;s Theorem.** **

In this first talk\, I will consider some
of the simplest and most useful Lie groups. I will
show how to derive their Lie algebras\, and will
further discuss the Adjoint action of the group on
its Lie algebra\, the Lie bracket on the algebra
\, and the exponential map.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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