Drinfeld Doubles Of The N-Rank Taft Algebras And A Generalization Of The Jones Polynomial

Ge Feng; Naihong Hu; Yunnan Li

doi:10.2140/pjm.2021.312.421

Drinfeld Doubles Of The N-Rank Taft Algebras And A Generalization Of The Jones Polynomial

Ge Feng^*
, Naihong Hu
, Yunnan Li

^*Corresponding author for this work

East China Normal University
Fudan University
Guangzhou University

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

2 Scopus citations

Abstract

We describe the Drinfeld double structure of the n-rank Taft algebra and all of its simple modules, and then endow its R-matrices with an application to knot invariants.

Original language	English
Pages (from-to)	421-456
Number of pages	36
Journal	Pacific Journal of Mathematics
Volume	312
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2021.312.421
State	Published - 2021
Externally published	Yes

Keywords

Drinfeld double
a generalization of the Jones polynomial
knot invariants
n-rank Taft algebra

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10.2140/pjm.2021.312.421

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title = "Drinfeld Doubles Of The N-Rank Taft Algebras And A Generalization Of The Jones Polynomial",

abstract = "We describe the Drinfeld double structure of the n-rank Taft algebra and all of its simple modules, and then endow its R-matrices with an application to knot invariants.",

keywords = "Drinfeld double, a generalization of the Jones polynomial, knot invariants, n-rank Taft algebra",

author = "Ge Feng and Naihong Hu and Yunnan Li",

year = "2021",

doi = "10.2140/pjm.2021.312.421",

language = "英语",

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journal = "Pacific Journal of Mathematics",

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T1 - Drinfeld Doubles Of The N-Rank Taft Algebras And A Generalization Of The Jones Polynomial

AU - Feng, Ge

AU - Hu, Naihong

AU - Li, Yunnan

PY - 2021

Y1 - 2021

N2 - We describe the Drinfeld double structure of the n-rank Taft algebra and all of its simple modules, and then endow its R-matrices with an application to knot invariants.

AB - We describe the Drinfeld double structure of the n-rank Taft algebra and all of its simple modules, and then endow its R-matrices with an application to knot invariants.

KW - Drinfeld double

KW - a generalization of the Jones polynomial

KW - knot invariants

KW - n-rank Taft algebra

UR - https://www.scopus.com/pages/publications/85114447070

U2 - 10.2140/pjm.2021.312.421

DO - 10.2140/pjm.2021.312.421

M3 - 文章

AN - SCOPUS:85114447070

SN - 0030-8730

VL - 312

SP - 421

EP - 456

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Drinfeld Doubles Of The N-Rank Taft Algebras And A Generalization Of The Jones Polynomial

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Keywords

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