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arxiv: 1905.03205 · v1 · pith:JMX4F5J6new · submitted 2019-05-08 · 🧮 math.RT · math.RA

Higher Spherical Algebras

classification 🧮 math.RT math.RA
keywords algebraalgebrashighersphericalalgebraicallyclosedderivedequivalent
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We introduce and study higher spherical algebras, an exotic family of finite-dimensional algebras over an algebraically closed field. We prove that every such an algebra is derived equivalent to a higher tetrahedral algebra studied in [7], an hence that it is a tame symmetric periodic algebra of period four.

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