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SUMMARY:Simple Modular Lie Algebras\, Non-graded Hamiltonians\, and their 
 Restricted Representations - Horacio Guerra\, Newcastle University
DTSTART:20190222T150000Z
DTEND:20190222T160000Z
UID:TALK118651@talks.cam.ac.uk
CONTACT:Stacey Law
DESCRIPTION:The classification of simple Lie algebras over the complex num
 bers and even the real numbers is both well-understood and simple to state
 . The modular case\, i.e.\, when the characteristic of the underlying fiel
 d is positive\, however\, is much more complicated. Recently\, work by Pre
 met and Strade completed the classification for p > 3. I will talk about t
 he classification and about my work in studying one of the families of sim
 ple Lie algebras that appear in it: the non-graded Hamiltonian-type Lie al
 gebra H = H(2\; (1\,1)\; Phi(1)). I will explain what induced representati
 ons and maximal vectors are in this context\, and talk about how I intend 
 to use this technical tool to find all the simple restricted modules for H
  and their composition factors.
LOCATION:CMS\, MR14
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