Simple Modular Lie Algebras, Non-graded Hamiltonians, and their Restricted Representations

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• Horacio Guerra, Newcastle University
• Friday 22 February 2019, 15:00-16:00
• CMS, MR14.

If you have a question about this talk, please contact Stacey Law.

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 underlying field is positive, however, is much more complicated. Recently, work by Premet and Strade completed the classification for p > 3. I will talk about the classification and about my work in studying one of the families of simple Lie algebras that appear in it: the non-graded Hamiltonian-type Lie algebra H = H(2; (1,1); Phi(1)). I will explain what induced representations 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.

This talk is part of the Junior Algebra and Number Theory seminar series.

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