Logarithmic knot invariants arising from restricted quantum groups

Jun Murakami; Kiyokazu Nagatomo

doi:10.1142/S0129167X08005060

Logarithmic knot invariants arising from restricted quantum groups

Jun Murakami^*, Kiyokazu Nagatomo

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

12 Citations (Scopus)

Abstract

We construct knot invariants from the radical part of projective modules of the restricted quantum group {U}}̄_q(sl₂ at q = exp( π √{-1}/p), and we also show a relation between these invariants and the colored Alexander invariants. These projective modules are related to logarithmic conformal field theories.

Original language	English
Pages (from-to)	1203-1213
Number of pages	11
Journal	International Journal of Mathematics
Volume	19
Issue number	10
DOIs	https://doi.org/10.1142/S0129167X08005060
Publication status	Published - 2008 Nov

Keywords

Invariants of knots and links
Restricted quantum group

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1142/S0129167X08005060

Cite this

@article{23dd31baaaef413e91d0486fa4d793a4,

title = "Logarithmic knot invariants arising from restricted quantum groups",

abstract = "We construct knot invariants from the radical part of projective modules of the restricted quantum group {U}{\=}}q(sl2 at q = exp( π √{-1}/p), and we also show a relation between these invariants and the colored Alexander invariants. These projective modules are related to logarithmic conformal field theories.",

keywords = "Invariants of knots and links, Restricted quantum group",

author = "Jun Murakami and Kiyokazu Nagatomo",

year = "2008",

month = nov,

doi = "10.1142/S0129167X08005060",

language = "English",

volume = "19",

pages = "1203--1213",

journal = "International Journal of Mathematics",

issn = "0129-167X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "10",

}

TY - JOUR

T1 - Logarithmic knot invariants arising from restricted quantum groups

AU - Murakami, Jun

AU - Nagatomo, Kiyokazu

PY - 2008/11

Y1 - 2008/11

N2 - We construct knot invariants from the radical part of projective modules of the restricted quantum group {U}}̄q(sl2 at q = exp( π √{-1}/p), and we also show a relation between these invariants and the colored Alexander invariants. These projective modules are related to logarithmic conformal field theories.

AB - We construct knot invariants from the radical part of projective modules of the restricted quantum group {U}}̄q(sl2 at q = exp( π √{-1}/p), and we also show a relation between these invariants and the colored Alexander invariants. These projective modules are related to logarithmic conformal field theories.

KW - Invariants of knots and links

KW - Restricted quantum group

UR - http://www.scopus.com/inward/record.url?scp=55849134827&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=55849134827&partnerID=8YFLogxK

U2 - 10.1142/S0129167X08005060

DO - 10.1142/S0129167X08005060

M3 - Article

AN - SCOPUS:55849134827

SN - 0129-167X

VL - 19

SP - 1203

EP - 1213

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 10

ER -

Logarithmic knot invariants arising from restricted quantum groups

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this