Character formulas for restricted simple modules of the special superalgebras

Bin Shu; Yu Feng Yao

doi:10.1002/mana.201000064

Character formulas for restricted simple modules of the special superalgebras

Bin Shu, Yu Feng Yao

School of Mathematical Sciences

Shanghai Maritime University

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

20 Scopus citations

Abstract

Let k be an algebraically closed field of prime characteristic p > 2, and let S(n) be the special Lie superalgebra over k. The iso-classes of simple restricted modules of these algebras are classified, and the character formulas of restricted simple modules are given.

Original language	English
Pages (from-to)	1107-1116
Number of pages	10
Journal	Mathematische Nachrichten
Volume	285
Issue number	8-9
DOIs	https://doi.org/10.1002/mana.201000064
State	Published - Jun 2012

Keywords

Restricted Lie superalgebra
Restricted representation
The special Lie superalgebra
Typical (atypical) weight

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10.1002/mana.201000064

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title = "Character formulas for restricted simple modules of the special superalgebras",

abstract = "Let k be an algebraically closed field of prime characteristic p > 2, and let S(n) be the special Lie superalgebra over k. The iso-classes of simple restricted modules of these algebras are classified, and the character formulas of restricted simple modules are given.",

keywords = "Restricted Lie superalgebra, Restricted representation, The special Lie superalgebra, Typical (atypical) weight",

author = "Bin Shu and Yao, \{Yu Feng\}",

year = "2012",

month = jun,

doi = "10.1002/mana.201000064",

language = "英语",

volume = "285",

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T1 - Character formulas for restricted simple modules of the special superalgebras

AU - Shu, Bin

AU - Yao, Yu Feng

PY - 2012/6

Y1 - 2012/6

N2 - Let k be an algebraically closed field of prime characteristic p > 2, and let S(n) be the special Lie superalgebra over k. The iso-classes of simple restricted modules of these algebras are classified, and the character formulas of restricted simple modules are given.

AB - Let k be an algebraically closed field of prime characteristic p > 2, and let S(n) be the special Lie superalgebra over k. The iso-classes of simple restricted modules of these algebras are classified, and the character formulas of restricted simple modules are given.

KW - Restricted Lie superalgebra

KW - Restricted representation

KW - The special Lie superalgebra

KW - Typical (atypical) weight

UR - https://www.scopus.com/pages/publications/84861691854

U2 - 10.1002/mana.201000064

DO - 10.1002/mana.201000064

M3 - 文章

AN - SCOPUS:84861691854

SN - 0025-584X

VL - 285

SP - 1107

EP - 1116

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 8-9

ER -

Character formulas for restricted simple modules of the special superalgebras

Abstract

Keywords

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