Tambara-Yamagami融合代数的自同构群

Automorphism Group of Tambara-yamagami Fusion Algebra

设K_(4)为klein四元群,TY_(K4)表示基群为K_(4)的Tambara-Yamagami融合环,令C(TY_(K4))=TY_(K4)■ZC,其中C为复数域,则C(TY_(K4))是基群为K_(4)的Tambara-Yamagami融合代数。文章证明了Tambara-Yamagami融合代数C(TY_(K4))的自同构群同构于二面体群D_(6)。