Representations of the restricted cartan type lie superalgebra w(m, n, 1)

Bin Shu; Chaowen Zhang

doi:10.1007/s10468-009-9198-6

Representations of the restricted cartan type lie superalgebra w(m, n, 1)

Bin Shu
, Chaowen Zhang^*

^*Corresponding author for this work

School of Mathematical Sciences

China University of Mining and Technology

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

25 Scopus citations

Abstract

Simple modules for the restricted Witt superalgebra W(m, n, 1) are considered. Conditions are provided for the restricted and nonrestricted Kac modules to be simple.

Original language	English
Pages (from-to)	463-481
Number of pages	19
Journal	Algebras and Representation Theory
Volume	14
Issue number	3
DOIs	https://doi.org/10.1007/s10468-009-9198-6
State	Published - Jun 2011

Keywords

Kac modules
Simple modules
Witt superalgebras

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10.1007/s10468-009-9198-6

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title = "Representations of the restricted cartan type lie superalgebra w(m, n, 1)",

abstract = "Simple modules for the restricted Witt superalgebra W(m, n, 1) are considered. Conditions are provided for the restricted and nonrestricted Kac modules to be simple.",

keywords = "Kac modules, Simple modules, Witt superalgebras",

author = "Bin Shu and Chaowen Zhang",

year = "2011",

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doi = "10.1007/s10468-009-9198-6",

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N2 - Simple modules for the restricted Witt superalgebra W(m, n, 1) are considered. Conditions are provided for the restricted and nonrestricted Kac modules to be simple.

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KW - Kac modules

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KW - Witt superalgebras

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DO - 10.1007/s10468-009-9198-6

M3 - 文章

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SN - 1386-923X

VL - 14

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JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 3

ER -

Representations of the restricted cartan type lie superalgebra w(m, n, 1)

Abstract

Keywords

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