Two-parameter quantum groups of exceptional type e-series and convex PBW-type basis

Xiaotang Bai; Naihong Hu

doi:10.1142/S100538670800059X

Two-parameter quantum groups of exceptional type e-series and convex PBW-type basis

Xiaotang Bai, Naihong Hu

School of Mathematical Sciences

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

17 Scopus citations

Abstract

The presentation of two-parameter quantum groups of type E-series in the sense of BenkartWitherspoon is given, which has a Drinfel'd quantum double structure. The universal R-matrix and a convex PBW-type basis are described for type E₆ (as a sample), and the conditions of an isomorphism from these quantum groups into the one-parameter quantum doubles are discussed.

Original language	English
Pages (from-to)	619-636
Number of pages	18
Journal	Algebra Colloquium
Volume	15
Issue number	4
DOIs	https://doi.org/10.1142/S100538670800059X
State	Published - Dec 2008

Keywords

Drinfel'd double
Lyndon word
Two-parameter quantum group

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10.1142/S100538670800059X

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title = "Two-parameter quantum groups of exceptional type e-series and convex PBW-type basis",

abstract = "The presentation of two-parameter quantum groups of type E-series in the sense of BenkartWitherspoon is given, which has a Drinfel'd quantum double structure. The universal R-matrix and a convex PBW-type basis are described for type E6 (as a sample), and the conditions of an isomorphism from these quantum groups into the one-parameter quantum doubles are discussed.",

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AU - Bai, Xiaotang

AU - Hu, Naihong

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N2 - The presentation of two-parameter quantum groups of type E-series in the sense of BenkartWitherspoon is given, which has a Drinfel'd quantum double structure. The universal R-matrix and a convex PBW-type basis are described for type E6 (as a sample), and the conditions of an isomorphism from these quantum groups into the one-parameter quantum doubles are discussed.

AB - The presentation of two-parameter quantum groups of type E-series in the sense of BenkartWitherspoon is given, which has a Drinfel'd quantum double structure. The universal R-matrix and a convex PBW-type basis are described for type E6 (as a sample), and the conditions of an isomorphism from these quantum groups into the one-parameter quantum doubles are discussed.

KW - Drinfel'd double

KW - Lyndon word

KW - Two-parameter quantum group

UR - https://www.scopus.com/pages/publications/58149502996

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DO - 10.1142/S100538670800059X

M3 - 文章

AN - SCOPUS:58149502996

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VL - 15

SP - 619

EP - 636

JO - Algebra Colloquium

JF - Algebra Colloquium

IS - 4

ER -

Two-parameter quantum groups of exceptional type e-series and convex PBW-type basis

Abstract

Keywords

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