Clustering for epidemics on networks: a geometric approach
Prasse, B
Devriendt, K
Van Mieghem, P
Chaos
volume 31
issue 6
(14 Jun 2021)
Quantifying ideological polarization on a network using generalized Euclidean distance.
Hohmann, M
Devriendt, K
Coscia, M
Science advances
volume 9
issue 9
eabq2044
(01 Mar 2023)
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
Trees and near-linear stable sets
Nguyen, T
Scott, A
Seymour, P
(14 Sep 2024)
http://arxiv.org/abs/2409.09397v1
Subdivisions and near-linear stable sets
Nguyen, T
Scott, A
Seymour, P
(14 Sep 2024)
http://arxiv.org/abs/2409.09400v2
Nuclear dimension of extensions of commutative C*-algebras by Kirchberg
algebras
Evington, S
Ng, A
Sims, A
White, S
(19 Sep 2024)
http://arxiv.org/abs/2409.12872v2
algebras
Addendum: Testing structural balance theories in heterogeneous signed networks
Gallo, A
Garlaschelli, D
Lambiotte, R
Saracco, F
Squartini, T
Communications Physics
volume 7
issue 1
312-312
(20 Sep 2024)
Morpho-mechanics of pressurized cellular sheets
Chandler, T
Ferria, J
Shorthose, O
Allain, J
Maiolino, P
Boudaoud, A
Vella, D
(19 Sep 2024)
Tue, 15 Oct 2024
14:30
14:30
L6
Undergraduate Summer Project Presentations: Computational experiments in the restricted universal enveloping algebra of sl 2
Joel Thacker
((University of Oxford))
Abstract
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.