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

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

4 Scopus citations

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).

Original language	English
Pages (from-to)	422-433
Number of pages	12
Journal	Journal of Geometry and Physics
Volume	86
DOIs	https://doi.org/10.1016/j.geomphys.2014.09.010
State	Published - 1 Dec 2014

Keywords

Harish-Chandra homomorphism
Rosso form
Two-parameter quantum group

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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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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

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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 B_n with n even

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Keywords

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