On the centre of two-parameter quantum groups Ur,s(g) for type Bn with n even

Naihong Hu; Yuxing Shi

doi:10.1016/j.geomphys.2014.09.010

On the centre of two-parameter quantum groups Ur,s(g) for type B_n with n even

Naihong Hu^*
, Yuxing Shi

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

The paper mainly considers the centre of two-parameter quantum groups Ur,s(so2n+1) via an analogue of the Harish-Chandra homomorphism. When n is even, the Harish-Chandra homomorphism is injective and the centre of two-parameter quantum groups Ur,s(so2n+1) is described in the sense of the Harish-Chandra isomorphism based on the Rosso form and the weight module representation theory established in Bergeron-Gao-Hu (2007).

源语言	英语
页（从-至）	422-433
页数	12
期刊	Journal of Geometry and Physics
卷	86
DOI	https://doi.org/10.1016/j.geomphys.2014.09.010
出版状态	已出版 - 1 12月 2014

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10.1016/j.geomphys.2014.09.010

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abstract = "The paper mainly considers the centre of two-parameter quantum groups Ur,s(so2n+1) via an analogue of the Harish-Chandra homomorphism. When n is even, the Harish-Chandra homomorphism is injective and the centre of two-parameter quantum groups Ur,s(so2n+1) is described in the sense of the Harish-Chandra isomorphism based on the Rosso form and the weight module representation theory established in Bergeron-Gao-Hu (2007).",

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AU - Hu, Naihong

AU - Shi, Yuxing

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N2 - The paper mainly considers the centre of two-parameter quantum groups Ur,s(so2n+1) via an analogue of the Harish-Chandra homomorphism. When n is even, the Harish-Chandra homomorphism is injective and the centre of two-parameter quantum groups Ur,s(so2n+1) is described in the sense of the Harish-Chandra isomorphism based on the Rosso form and the weight module representation theory established in Bergeron-Gao-Hu (2007).

AB - The paper mainly considers the centre of two-parameter quantum groups Ur,s(so2n+1) via an analogue of the Harish-Chandra homomorphism. When n is even, the Harish-Chandra homomorphism is injective and the centre of two-parameter quantum groups Ur,s(so2n+1) is described in the sense of the Harish-Chandra isomorphism based on the Rosso form and the weight module representation theory established in Bergeron-Gao-Hu (2007).

KW - Harish-Chandra homomorphism

KW - Rosso form

KW - Two-parameter quantum group

UR - https://www.scopus.com/pages/publications/84908666538

U2 - 10.1016/j.geomphys.2014.09.010

DO - 10.1016/j.geomphys.2014.09.010

M3 - 文章

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VL - 86

SP - 422

EP - 433

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

On the centre of two-parameter quantum groups Ur,s(g) for type Bn with n even

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On the centre of two-parameter quantum groups Ur,s(g) for type B_n with n even