Simple generalized restricted modules for graded Lie algebras of Cartan type

Bin Shu

doi:10.1007/BF02883677

Simple generalized restricted modules for graded Lie algebras of Cartan type

Bin Shu^*

^*此作品的通讯作者

Shanghai Maritime University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

Let L = X( m:n)⁽²⁾, X∈ {W, S, H, K} be a simple graded Lie algebra of Cartan type over a field F of characteristic p>3. With the aid of Farnsteiner's generalized reduced Verma module, a connection between the simple GR modules and simple graded modules of L is eastablished.

源语言	英语
页（从-至）	1336-1340
页数	5
期刊	Chinese Science Bulletin
卷	43
期	16
DOI	https://doi.org/10.1007/BF02883677
出版状态	已出版 - 8月 1998
已对外发布	是

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title = "Simple generalized restricted modules for graded Lie algebras of Cartan type",

abstract = "Let L = X( m:n)(2), X∈ \{W, S, H, K\} be a simple graded Lie algebra of Cartan type over a field F of characteristic p>3. With the aid of Farnsteiner's generalized reduced Verma module, a connection between the simple GR modules and simple graded modules of L is eastablished.",

keywords = "Generalized reduced Verma module, Generalized restricted module, Lie algebra of Cartan type",

author = "Bin Shu",

year = "1998",

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AU - Shu, Bin

PY - 1998/8

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N2 - Let L = X( m:n)(2), X∈ {W, S, H, K} be a simple graded Lie algebra of Cartan type over a field F of characteristic p>3. With the aid of Farnsteiner's generalized reduced Verma module, a connection between the simple GR modules and simple graded modules of L is eastablished.

AB - Let L = X( m:n)(2), X∈ {W, S, H, K} be a simple graded Lie algebra of Cartan type over a field F of characteristic p>3. With the aid of Farnsteiner's generalized reduced Verma module, a connection between the simple GR modules and simple graded modules of L is eastablished.

KW - Generalized reduced Verma module

KW - Generalized restricted module

KW - Lie algebra of Cartan type

UR - https://www.scopus.com/pages/publications/0011830726

U2 - 10.1007/BF02883677

DO - 10.1007/BF02883677

M3 - 文章

AN - SCOPUS:0011830726

SN - 1001-6538

VL - 43

SP - 1336

EP - 1340

JO - Chinese Science Bulletin

JF - Chinese Science Bulletin

IS - 16

ER -

Simple generalized restricted modules for graded Lie algebras of Cartan type

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