In this paper a class of two-parameter weak Hopf algebras wrτ,s(g) corresponding to Borcherds-Cartan matrix is constructed. This class consists of noncommutative and noncocommutative weak Hopf algebras but not Hopf a...In this paper a class of two-parameter weak Hopf algebras wrτ,s(g) corresponding to Borcherds-Cartan matrix is constructed. This class consists of noncommutative and noncocommutative weak Hopf algebras but not Hopf algebras. It can be viewed as a generalized class of one-parameter weak Hopf algebras wUq(g).展开更多
基金the National Natural Science Foundation of China (Nos.10671016 10771014)the Foundation of Beijing Educational Committee (No.KM200710005013)
文摘In this paper a class of two-parameter weak Hopf algebras wrτ,s(g) corresponding to Borcherds-Cartan matrix is constructed. This class consists of noncommutative and noncocommutative weak Hopf algebras but not Hopf algebras. It can be viewed as a generalized class of one-parameter weak Hopf algebras wUq(g).
基金Supported by the PhD Programs Foundation of Ministry of Education of China(200803570003)Anhui Provincial Natural Science Foundation Grant(10040606Y33)+2 种基金Scientific Research Foundation for the PhDs of Anhui University(33190055)Academic Innovation Team of Anhui University(KJTD001B)Project of Anhui Province of Excellent Young Talents in University(2009SQRZ017ZD)