Restricted representations of lie superalgebras of hamiltonian type

Yu Feng Yao; Bin Shu

doi:10.1007/s10468-011-9322-2

Restricted representations of lie superalgebras of hamiltonian type

Yu Feng Yao^*
, Bin Shu

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai Maritime University

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

18 Scopus citations

Abstract

Let F be an algebraically closed field of prime characteristic p > 2, H(n) the Hamiltonian Lie superalgebra over F. The simple restricted H(n)-modules are studied and classified. Furthermore, a sufficient and necessary condition is provided for restricted Kac modules to be simple.

Original language	English
Pages (from-to)	615-632
Number of pages	18
Journal	Algebras and Representation Theory
Volume	16
Issue number	3
DOIs	https://doi.org/10.1007/s10468-011-9322-2
State	Published - Jun 2013

Keywords

Atypical weight
Lie superalgebra of Hamiltonian type
Restricted Lie superalgebra
Restricted representation
Typical weight

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10.1007/s10468-011-9322-2

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title = "Restricted representations of lie superalgebras of hamiltonian type",

abstract = "Let F be an algebraically closed field of prime characteristic p > 2, H(n) the Hamiltonian Lie superalgebra over F. The simple restricted H(n)-modules are studied and classified. Furthermore, a sufficient and necessary condition is provided for restricted Kac modules to be simple.",

keywords = "Atypical weight, Lie superalgebra of Hamiltonian type, Restricted Lie superalgebra, Restricted representation, Typical weight",

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

year = "2013",

month = jun,

doi = "10.1007/s10468-011-9322-2",

language = "英语",

volume = "16",

pages = "615--632",

journal = "Algebras and Representation Theory",

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T1 - Restricted representations of lie superalgebras of hamiltonian type

AU - Yao, Yu Feng

AU - Shu, Bin

PY - 2013/6

Y1 - 2013/6

N2 - Let F be an algebraically closed field of prime characteristic p > 2, H(n) the Hamiltonian Lie superalgebra over F. The simple restricted H(n)-modules are studied and classified. Furthermore, a sufficient and necessary condition is provided for restricted Kac modules to be simple.

AB - Let F be an algebraically closed field of prime characteristic p > 2, H(n) the Hamiltonian Lie superalgebra over F. The simple restricted H(n)-modules are studied and classified. Furthermore, a sufficient and necessary condition is provided for restricted Kac modules to be simple.

KW - Atypical weight

KW - Lie superalgebra of Hamiltonian type

KW - Restricted Lie superalgebra

KW - Restricted representation

KW - Typical weight

UR - https://www.scopus.com/pages/publications/84877687301

U2 - 10.1007/s10468-011-9322-2

DO - 10.1007/s10468-011-9322-2

M3 - 文章

AN - SCOPUS:84877687301

SN - 1386-923X

VL - 16

SP - 615

EP - 632

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 3

ER -

Restricted representations of lie superalgebras of hamiltonian type

Abstract

Keywords

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