Author:
Chen Yuanyuan,Wang Zhongwei,Zhang Liangyun
Abstract
Abstract
In this paper, we introduce FS-coalgebras, which provide solutions
of FS-equations and also solution of
braid equations considered by Caenepeel, Militaru and Zhu.
FS-coalgebras are constructed by using
FS-equations and Harrison cocycles.
As applications, we prove that every bialgebra
H is an FS-bialgebra if and only if there is a
two-sided integral α in
{H^{\ast}}
such that
{\varepsilon(\alpha)=1}
, and we show that
the crossed coproduct
{H^{R}}
introduced by the Harrison cocycle R is an
FS-coalgebra when
{(H,R)}
is a finite-dimensional quasitriangular Hopf
algebra or a Long copaired bialgebra.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Jiangsu Province
Cited by
1 articles.
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