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arxiv: 0712.1892 · v2 · submitted 2007-12-12 · 🧮 math.AG · math.RA· math.RT

Determinants of finite-dimensional algebras

classification 🧮 math.AG math.RAmath.RT
keywords algebrasassociativefinite-dimensionalalgebraapplicationsbasecalledcanonical
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To each associative unitary finite-dimensional algebra over a normal base, we associative a canonical multiplicative function called its determinant. We give various properties of this construction, as well as applications to the topology of the moduli stack of n-dimensional algebras.

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