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Centres of centralizers of unipotent elements in simple algebraic groups

Centres of centralizers of unipotent elements in simple algebraic groups

Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let u is an element of G be unipotent. We study the centralizer C-G(u), especially its centre Z(C-G(u)). We calculate the Lie algebra of …