Sofic Lie Algebras release_v4w3n3wnuzcsbgb73yftfvpy4a

by Cameron Cinel

Released as a article .

2022  

Abstract

We introduce and study soficity for Lie algebras, modelled after linear soficity in associative algebras. We introduce equivalent definitions of soficity, one involving metric ultraproducts and the other involving almost representations. We prove that any Lie algebra of subexponential growth is sofic. We also prove that a Lie algebra over a field of characteristic 0 is sofic if and only if its universal enveloping algebra is linearly sofic. Finally, we give explicit families of almost representations for the Witt and Virasoro algebras.
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Date   2022-03-06
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Language   en ?
arXiv  2202.13025v2
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