Academic
Mohit Dalwadi, Associate Professor, OCIAM: S3.31
Nazem Khan, Departmental Lecturer, Mathematics and Computational Finance: S1.46
Luciana Bonatto, Whitehead Lecturer, Topology: N4.04
Research
Tom Klose, Marie Curie Fellow, Stochastic Analysis: S3.24
Eoin Hurley, PDRA, Combinatorics: S1.53
Simon Felten, PDRA, Geometry: N2.14
Lucas Hataishi, PDRA, Functional Analysis: N3.04
Jenny Pi, PDRA, Functional Analysis: N3.04
The problem of finding an explicit description of the centre of the restricted universal enveloping algebra of sl2 for a general prime characteristic p is still open. We use a computational approach to find a basis for the centre for small p. Building on this, we used a special central element t to construct a complete set of (p+1)/2 orthogonal primitive idempotents e_i, which decompose Z into one 1-dimensional and (p-1)/2 3-dimensional subspaces e_i Z. These allow us to compute e_i N as subspaces of the e_i Z, where N is the largest nilpotent ideal of Z. Looking forward, the results perhaps suggest N is a free k[T] / (T^{(p-1)/2}-1)-module of rank 2.
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