Notes on Two-Parameter Quantum Groups, (II)

Naihong Hu; Yufeng Pei

doi:10.1080/00927872.2011.562581

Notes on Two-Parameter Quantum Groups, (II)

Naihong Hu
, Yufeng Pei^*

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai Normal University

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

13 Scopus citations

Abstract

This article is the sequel to [11] to study the deformed structures and representations of two-parameter quantum groups U _r,s(g) associated to the finite dimensional simple Lie algebras g. An equivalence of the braided tensor categories O ^r,s and O ^q under the assumption rs ^-1 = q ² is explicitly established.

Original language	English
Pages (from-to)	3202-3220
Number of pages	19
Journal	Communications in Algebra
Volume	40
Issue number	9
DOIs	https://doi.org/10.1080/00927872.2011.562581
State	Published - Sep 2012

Keywords

2-Parameter quantum groups
Bigraded Hopf algebras
Deformed module structures
Hopf 2-cocycle deformation

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title = "Notes on Two-Parameter Quantum Groups, (II)",

abstract = "This article is the sequel to [11] to study the deformed structures and representations of two-parameter quantum groups U r,s(g) associated to the finite dimensional simple Lie algebras g. An equivalence of the braided tensor categories O r,s and O q under the assumption rs -1 = q 2 is explicitly established.",

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AB - This article is the sequel to [11] to study the deformed structures and representations of two-parameter quantum groups U r,s(g) associated to the finite dimensional simple Lie algebras g. An equivalence of the braided tensor categories O r,s and O q under the assumption rs -1 = q 2 is explicitly established.

KW - 2-Parameter quantum groups

KW - Bigraded Hopf algebras

KW - Deformed module structures

KW - Hopf 2-cocycle deformation

UR - https://www.scopus.com/pages/publications/84867263294

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M3 - 文章

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VL - 40

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JO - Communications in Algebra

JF - Communications in Algebra

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ER -

Notes on Two-Parameter Quantum Groups, (II)

Abstract

Keywords

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