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CATEGORIES:Junior Algebra/Logic/Number Theory seminar
SUMMARY:Simple Modular Lie Algebras\, Non-graded Hamiltoni
ans\, and their Restricted Representations - Horac
io Guerra\, Newcastle University
DTSTART;TZID=Europe/London:20190222T150000
DTEND;TZID=Europe/London:20190222T160000
UID:TALK118651AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/118651
DESCRIPTION:The classification of simple Lie algebras over the
complex numbers and even the real numbers is both
well-understood and simple to state. The modular
case\, i.e.\, when the characteristic of the under
lying field is positive\, however\, is much more c
omplicated. Recently\, work by Premet and Strade c
ompleted the classification for p > 3. I will talk
about the classification and about my work in stu
dying one of the families of simple Lie algebras t
hat appear in it: the non-graded Hamiltonian-type
Lie algebra H = H(2\; (1\,1)\; Phi(1)). I will exp
lain what induced representations and maximal vect
ors are in this context\, and talk about how I int
end to use this technical tool to find all the sim
ple restricted modules for H and their composition
factors.
LOCATION:CMS\, MR14
CONTACT:Stacey Law
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