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^*

^*Corresponding author for this work

Shanghai Maritime University

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

1 Scopus citations

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.

Original language	English
Pages (from-to)	1336-1340
Number of pages	5
Journal	Chinese Science Bulletin
Volume	43
Issue number	16
DOIs	https://doi.org/10.1007/BF02883677
State	Published - Aug 1998
Externally published	Yes

Keywords

Generalized reduced Verma module
Generalized restricted module
Lie algebra of Cartan type

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10.1007/BF02883677

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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",

month = aug,

doi = "10.1007/BF02883677",

language = "英语",

volume = "43",

pages = "1336--1340",

journal = "Chinese Science Bulletin",

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publisher = "Elsevier B.V.",

number = "16",

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T1 - Simple generalized restricted modules for graded Lie algebras of Cartan type

AU - Shu, Bin

PY - 1998/8

Y1 - 1998/8

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

Abstract

Keywords

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