Journal article

Double centralizers of unipotent elements in simple algebraic groups of type G(2), F-4 and E-6

Let u be a unipotent element of a simple algebraic group G over a field k of characteristic p. We develop a method for computing the connected component of Z(C-G(u)) in the cases where p is positive and both it and the rank of G are small enough. The method is then carried out for G of type G(2), F-4 and E-6 in bad characteristic. (C) 2013 Elsevier Inc. All rights reserved.


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