Equitable Presentations for Multiparameter Quantum Groups

Nai Hong Hu; Yu Feng Pei; Jiao Zhang

doi:10.1007/s10114-021-0676-z

Equitable Presentations for Multiparameter Quantum Groups

Nai Hong Hu
, Yu Feng Pei
, Jiao Zhang^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

In this paper, we give an equitable presentation for the multiparameter quantum group associated to a symmetrizable Kac-Moody Lie algebra, which can be regarded as a natural generalization of the Terwilliger’s equitable presentation for the one-parameter quantum group.

Original language	English
Pages (from-to)	1560-1572
Number of pages	13
Journal	Acta Mathematica Sinica, English Series
Volume	37
Issue number	10
DOIs	https://doi.org/10.1007/s10114-021-0676-z
State	Published - Oct 2021

Keywords

17B37
20G42
81R50
Hopf algebras
Quantum groups
equitable presentation

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10.1007/s10114-021-0676-z

Cite this

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title = "Equitable Presentations for Multiparameter Quantum Groups",

abstract = "In this paper, we give an equitable presentation for the multiparameter quantum group associated to a symmetrizable Kac-Moody Lie algebra, which can be regarded as a natural generalization of the Terwilliger{\textquoteright}s equitable presentation for the one-parameter quantum group.",

keywords = "17B37, 20G42, 81R50, Hopf algebras, Quantum groups, equitable presentation",

author = "Hu, \{Nai Hong\} and Pei, \{Yu Feng\} and Jiao Zhang",

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doi = "10.1007/s10114-021-0676-z",

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AB - In this paper, we give an equitable presentation for the multiparameter quantum group associated to a symmetrizable Kac-Moody Lie algebra, which can be regarded as a natural generalization of the Terwilliger’s equitable presentation for the one-parameter quantum group.

KW - 17B37

KW - 20G42

KW - 81R50

KW - Hopf algebras

KW - Quantum groups

KW - equitable presentation

UR - https://www.scopus.com/pages/publications/85117295282

U2 - 10.1007/s10114-021-0676-z

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M3 - 文章

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Equitable Presentations for Multiparameter Quantum Groups

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Keywords

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