Centres of centralizers of unipotent elements in simple algebraic groups
著者
書誌事項
Centres of centralizers of unipotent elements in simple algebraic groups
(Memoirs of the American Mathematical Society, no. 988)
American Mathematical Society, c2010
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注記
"Volume 210, number 988 (second of 4 numbers)."
Includes bibliographical references (p. 187-188)
内容説明・目次
内容説明
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 uEG be unipotent. The authors study the centralizer CG(u), especially its centre Z(CG(u)). They calculate the Lie algebra of Z(CG(u)), in particular determining its dimension; they prove a succession of theorems of increasing generality, the last of which provides a formula for dim Z(CG(u)) in terms of the labelled diagram associated to the conjugacy class containing u.
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