We construct the Grothendieck rings of a class of 2n^(2)dimensional semisimple Hopf Algebras H_(2n)^(2),which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra H8.All irreducible H_(2n)...We construct the Grothendieck rings of a class of 2n^(2)dimensional semisimple Hopf Algebras H_(2n)^(2),which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra H8.All irreducible H_(2n)^(2)-modules are classified.Furthermore,we describe the Grothendieck rings r(H_(2n)^(2))by generators and relations explicitly.展开更多
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.11671024,11701019,11871301)the Science and Technology Project of Beijing Municipal Education Commission(Grant No.KM202110005012).
文摘We construct the Grothendieck rings of a class of 2n^(2)dimensional semisimple Hopf Algebras H_(2n)^(2),which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra H8.All irreducible H_(2n)^(2)-modules are classified.Furthermore,we describe the Grothendieck rings r(H_(2n)^(2))by generators and relations explicitly.
