Open AccessA Class of Weak Hopf Algebras
Author(s) -
Dongming Cheng
Publication year - 2010
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2010/520762
Subject(s) - hopf algebra , mathematics , noncommutative geometry , quotient , algebra over a field , pure mathematics
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 Hn has a quotient Hopf algebra and a sub-Hopf algebra which are isomorphic to Hn
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