The Grothendieck Algebra of Ahopf Algebra
نویسندگان
چکیده
0 Introduction We began in 4] a study of the Grothendieck group G(H) of the category of nite dimensional right comodules of a Hopf algebra H. We begin here the study of the representation theory of the algebras G(H) K obtained from G(H) by extending the scalars. Our primary motivation has been to try to establish Kaplansky's conjecture that if a nite dimensional cosemisimple Hopf algebra H over an algebraically closed eld contains a simple subcoal-gebra of dimension n 2 , then n divides the dimension of H. As a more direct attack on the problem has not been successful, we have been studying the problem from a general
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