Quasitriangular Structures on Abelian Extensions of Z2 I

In this paper, we study quasitriangular structures on a class of semisimple Hopf algebras [Formula: see text] constructed through abelian extensions of [Formula: see text] by [Formula: see text] for an abelian group [Formula: see text]. We find that there is an analogy between these quasitriangular structures and the solutions of a linear system.

Authors

Institutions

Publication Details

Journal
Algebra Colloquium
Published
2025-03-01
DOI
https://doi.org/10.1142/s1005386725000124
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Quasitriangular Structures on Abelian Extensions of Z2 I

Gongxiang Liu, Kun Zhou
Algebra Colloquium
Rings, Modules, and Algebras
article

Quasitriangular Structures on Abelian Extensions of Z2 I

Gongxiang Liu, Kun Zhou
article en

Abstract

In this paper, we study quasitriangular structures on a class of semisimple Hopf algebras [Formula: see text] constructed through abelian extensions of [Formula: see text] by [Formula: see text] for an abelian group [Formula: see text]. We find that there is an analogy between these quasitriangular structures and the solutions of a linear system.

Algebra ColloquiumVol. 32(01)
Beijing Institute of Mathematical Sciences and Applications, Nanjing University (CN)
Openalex Percentile: Top 93%
Rings, Modules, and Algebras
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Quasitriangular Structures on Abelian Extensions of Z2 I — Gongxiang Liu, Kun Zhou · Algebra Colloquium (2025) | TGRS Research Map | TGRS