A class of weak Hopf algebras.
type: Item
instance of: scholarly article
title: A class of weak Hopf algebras.
zbMATH Open document ID: 1189.16026
DOI: 10.1155/2010/520762
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-04-20T00:00:00Z
full work available at URL: https://eudml.org/doc/225140
review text: Summary: We introduce a class of noncommutative and noncocommutative weak Hopf algebras with infinite Ext quivers and study their structure. We decompose them into a direct sum of two algebras. The coalgebra structures of these weak Hopf algebras are described by their Ext quiver. The weak Hopf extension of Hopf algebra \(H_n\) has a quotient Hopf algebra and a sub-Hopf algebra which are isomorphic to \(H_n\).
Mathematics Subject Classification ID: 16T05
zbMATH DE Number: 5695252
zbMATH Keywords: weak Hopf algebras
zbMATH Keywords: Ext quivers
Wikidata QID: Q58651784
author: Dongming Cheng
MaRDI profile type: Publication
OpenAlex ID: W2056998539
cites work: Weak Hopf algebras and some new solutions of the quantum Yang-Baxter equation
cites work: Solutions of yang-baxter equation in an endomorphism semigroup and quasi-(co)braided almost bialgebras∗
cites work: Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation
cites work: Weak Hopf algebras corresponding to Uq[sln]
cites work: The Structure of Weak Hopf Algebras Corresponding toUq(sl2)
cites work: Q3837180
cites work: Weak Hopf algebras corresponding to Cartan matrices
cites work: Q4217855
cites work: Indecomposable Coalgebras, Simple Comodules, and Pointed Hopf Algebras
cites work: Finite-dimensional simple-pointed Hopf algebras
cites work: Quantum path algebras
cites work: Q4466637
DBLP publication ID: journals/ijmmsc/Cheng10
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description: scientific article; zbMATH DE number 5695252