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arxiv: 0810.5185 · v1 · pith:OU3ZARWXnew · submitted 2008-10-29 · 🧮 math.RT · math.RA

Representation dimension of m-replicated algebras

classification 🧮 math.RT math.RA
keywords dimensionalgebrareplicatedrepresentationalgebraicallyalgebrascloseddimensional
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Let $A$ be a finite dimensional hereditary algebra over an algebraically closed field and $A^{(m)}$ the $m$-replicated algebra of $A$. We prove that the representation dimension of $A^{(m)}$ is at most three, and that the dominant dimension of $A^{(m)}$ is at least $m$.

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