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

Research output: Contribution to journal › Article › peer-review

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 y^p = 0, t ∈ F and u is some fixed element of the p-envelope of L in DerΘ(m : n).

Original language	English
Pages (from-to)	293-298
Number of pages	6
Journal	Chinese Annals of Mathematics. Series B
Volume	19
Issue number	3
State	Published - 1998
Externally published	Yes

Keywords

Algebraic Groups
Cartan type Lie algebras

Cite this

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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).",

keywords = "Algebraic Groups, Cartan type Lie algebras",

author = "Guangyu Shen and Bin Shu",

year = "1998",

language = "英语",

volume = "19",

pages = "293--298",

journal = "Chinese Annals of Mathematics. Series B",

issn = "0252-9599",

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T1 - Algebraic groups associated with graded lie algebras of cartan type

AU - Shen, Guangyu

AU - Shu, Bin

PY - 1998

Y1 - 1998

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

UR - https://www.scopus.com/pages/publications/25444500135

M3 - 文章

AN - SCOPUS:25444500135

SN - 0252-9599

VL - 19

SP - 293

EP - 298

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 3

ER -

Algebraic groups associated with graded lie algebras of cartan type

Abstract

Keywords

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