Algebraic groups associated with graded lie algebras of cartan type

Guangyu Shen; Bin Shu

Algebraic groups associated with graded lie algebras of cartan type

Guangyu Shen^*
, Bin Shu

^*此作品的通讯作者

East China Normal University
Shanghai Maritime University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

For a graded simple Lie algebra of Cartan type L = X(m : n)⁽²⁾, X ∈{W, S, H, K}, over a field F of odd characteristic p, the group generated by one-parameter subgroups of the form exp(tady) is described, where y ∈ L + Fu satisfying y^p = 0, t ∈ F and u is some fixed element of the p-envelope of L in DerΘ(m : n).

源语言	英语
页（从-至）	293-298
页数	6
期刊	Chinese Annals of Mathematics. Series B
卷	19
期	3
出版状态	已出版 - 1998
已对外发布	是

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title = "Algebraic groups associated with graded lie algebras of cartan type",

abstract = "For a graded simple Lie algebra of Cartan type L = X(m : n)(2), X ∈\{W, S, H, K\}, over a field F of odd characteristic p, the group generated by one-parameter subgroups of the form exp(tady) is described, where y ∈ L + Fu satisfying yp = 0, t ∈ F and u is some fixed element of the p-envelope of L in DerΘ(m : n).",

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N2 - For a graded simple Lie algebra of Cartan type L = X(m : n)(2), X ∈{W, S, H, K}, over a field F of odd characteristic p, the group generated by one-parameter subgroups of the form exp(tady) is described, where y ∈ L + Fu satisfying yp = 0, t ∈ F and u is some fixed element of the p-envelope of L in DerΘ(m : n).

AB - For a graded simple Lie algebra of Cartan type L = X(m : n)(2), X ∈{W, S, H, K}, over a field F of odd characteristic p, the group generated by one-parameter subgroups of the form exp(tady) is described, where y ∈ L + Fu satisfying yp = 0, t ∈ F and u is some fixed element of the p-envelope of L in DerΘ(m : n).

KW - Algebraic Groups

KW - Cartan type Lie algebras

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ER -

Algebraic groups associated with graded lie algebras of cartan type

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