Quantum group structure associated to the quantum affine space

Naihong Hu

Quantum group structure associated to the quantum affine space

Naihong Hu^*

^*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

10 引用（Scopus）

摘要

A braided monoidal category G_Λθ of Λ-graded associative algebras over a field k is established. The structural feature (including its PBW-basis) of the braided universal enveloping algebra U(L) of a θ-Lie algebra L is investigated as an object in G _Λ,θ, and a class of quantum groups arising from U(L) is presented. In addition, the quantized universal enveloping algebra of any abelian Lie algebra is given, which is a twisted quantum group associated to the quantum affine space k(A_q^n|0].

源语言	英语
页（从-至）	483-492
页数	10
期刊	Algebra Colloquium
卷	11
期	4
出版状态	已出版 - 12月 2004

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引用此

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keywords = "Braided Hopf algebra, Braided monoidal category, Quantum affine space, θ-Lie algebra",

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N2 - A braided monoidal category GΛθ of Λ-graded associative algebras over a field k is established. The structural feature (including its PBW-basis) of the braided universal enveloping algebra U(L) of a θ-Lie algebra L is investigated as an object in G Λ,θ, and a class of quantum groups arising from U(L) is presented. In addition, the quantized universal enveloping algebra of any abelian Lie algebra is given, which is a twisted quantum group associated to the quantum affine space k(Aqn|0].

AB - A braided monoidal category GΛθ of Λ-graded associative algebras over a field k is established. The structural feature (including its PBW-basis) of the braided universal enveloping algebra U(L) of a θ-Lie algebra L is investigated as an object in G Λ,θ, and a class of quantum groups arising from U(L) is presented. In addition, the quantized universal enveloping algebra of any abelian Lie algebra is given, which is a twisted quantum group associated to the quantum affine space k(Aqn|0].

KW - Braided Hopf algebra

KW - Braided monoidal category

KW - Quantum affine space

KW - θ-Lie algebra

UR - https://www.scopus.com/pages/publications/28044471543

M3 - 文章

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JF - Algebra Colloquium

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ER -

Quantum group structure associated to the quantum affine space

摘要

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