The main work of this article is to give a nontrivial method to construct pointed semilattice graded weak Hopf algebra from a Clifford monoid S =[Y; Gα. φα,β]by Ore-extensions, and to obtain a co-Frobenius semilat...The main work of this article is to give a nontrivial method to construct pointed semilattice graded weak Hopf algebra from a Clifford monoid S =[Y; Gα. φα,β]by Ore-extensions, and to obtain a co-Frobenius semilattice graded weak Hopf algebra H（S, n, c, x, a, b） through factoring At by a semilattice graded weak Hopf ideal.展开更多
Let A be a subalgebra of uq（sl（2）） generated by K, K-1 and F and A^δ be a subalgebra of b/q（sl（2）） generated by K, K-1 （and also Fd if q is a primitive d-th root of unity with d an odd number）. Given an Aδ...Let A be a subalgebra of uq（sl（2）） generated by K, K-1 and F and A^δ be a subalgebra of b/q（sl（2）） generated by K, K-1 （and also Fd if q is a primitive d-th root of unity with d an odd number）. Given an Aδ-module M, a/gq（s/（2））-module A A M is constructed via the iterated Ore extension of Uq（S/（2）） in a unified framework for any q. Then all the submodules of A δA5 M are determined for a fixed finite-dimensional indecomposable Aδ-module .M. It turns out that for some indecomposable A^-module M, the 5/q（sl（2））-module A @A M is indecomposable, which is not in the BGG-categories associated with quantum groups in general.展开更多
基金supported by the National Natural Science Foundation of China(11271318,11171296,and J1210038)the Specialized Research Fund for the Doctoral Program of Higher Education of China(20110101110010)the Zhejiang Provincial Natural Science Foundation of China(LZ13A010001)
文摘The main work of this article is to give a nontrivial method to construct pointed semilattice graded weak Hopf algebra from a Clifford monoid S =[Y; Gα. φα,β]by Ore-extensions, and to obtain a co-Frobenius semilattice graded weak Hopf algebra H（S, n, c, x, a, b） through factoring At by a semilattice graded weak Hopf ideal.
基金Supported by National Natural Foundation of China (Grant No. 11171291)Doctorate Foundation (Grant No. 200811170001) Ministry of Education of China
文摘Let A be a subalgebra of uq（sl（2）） generated by K, K-1 and F and A^δ be a subalgebra of b/q（sl（2）） generated by K, K-1 （and also Fd if q is a primitive d-th root of unity with d an odd number）. Given an Aδ-module M, a/gq（s/（2））-module A A M is constructed via the iterated Ore extension of Uq（S/（2）） in a unified framework for any q. Then all the submodules of A δA5 M are determined for a fixed finite-dimensional indecomposable Aδ-module .M. It turns out that for some indecomposable A^-module M, the 5/q（sl（2））-module A @A M is indecomposable, which is not in the BGG-categories associated with quantum groups in general.
