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arXiv · 2104.14488

A note on affine representable algebras

Martin Lorenz
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Abstract

We consider affine representable algebras, that is, finitely generated algebras over a field that can be embedded into some matrix algebra over a commutative algebra. We show that this algebra can in fact be chosen to be a polynomial algebra. We also prove a refined version of a theorem of V.T. Markov stating that the Gelfand-Kirillov dimension of any affine representable algebra is an integer.

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Martin Lorenz. 2021-04-29. A note on affine representable algebras. https://arxiv.org/abs/2104.14488

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