On Semisimple Hopf Algebras with Few Representations of Dimension Greater than One

نویسنده

  • V. A. ARTAMONOV
چکیده

Let H be a semisimple Hopf algebra over an algebraically closed field k. It is assumed that either char k = 0 or char k > dimH . Semisimplicity of H means that H is a semisimple left H-module. In that case H has finite dimension. Throughout the paper we shall keep to notations from [M]. For example H stands for the dual Hopf algebra with the natural pairing 〈−,−〉 : H ⊗ H → k. The algebra H is a left and right H-module algebra with respect to the left and right actions f ⇀ x, x ↼ f of f ∈ H on x ∈ H , defined as follows, [M, Example 4.1.10]: if

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تاریخ انتشار 2010