Character formulae for ortho-symplectic Lie superalgebras osp(n|2)

Li Luo

doi:10.1016/j.jalgebra.2011.12.014

Character formulae for ortho-symplectic Lie superalgebras osp(n|2)

Li Luo^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

The characters of finite-dimensional irreducible modules of the Lie superalgebra osp(n|2) are completely determined in terms of those of generalized Verma modules. As a by-product, the irreducible decomposition of the tensor of any finite-dimensional irreducible module with the natural module is obtained.

源语言	英语
页（从-至）	31-61
页数	31
期刊	Journal of Algebra
卷	353
期	1
DOI	https://doi.org/10.1016/j.jalgebra.2011.12.014
出版状态	已出版 - 1 3月 2012

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10.1016/j.jalgebra.2011.12.014

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title = "Character formulae for ortho-symplectic Lie superalgebras osp(n|2)",

abstract = "The characters of finite-dimensional irreducible modules of the Lie superalgebra osp(n|2) are completely determined in terms of those of generalized Verma modules. As a by-product, the irreducible decomposition of the tensor of any finite-dimensional irreducible module with the natural module is obtained.",

keywords = "Character formula, Cohomology, Generalized Verma module, Ortho-symplectic superalgebra, Tensor module",

author = "Li Luo",

year = "2012",

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AB - The characters of finite-dimensional irreducible modules of the Lie superalgebra osp(n|2) are completely determined in terms of those of generalized Verma modules. As a by-product, the irreducible decomposition of the tensor of any finite-dimensional irreducible module with the natural module is obtained.

KW - Character formula

KW - Cohomology

KW - Generalized Verma module

KW - Ortho-symplectic superalgebra

KW - Tensor module

UR - https://www.scopus.com/pages/publications/84855936533

U2 - 10.1016/j.jalgebra.2011.12.014

DO - 10.1016/j.jalgebra.2011.12.014

M3 - 文章

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SN - 0021-8693

VL - 353

SP - 31

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JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

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Character formulae for ortho-symplectic Lie superalgebras osp(n|2)

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