On the bracket of integrable derivations

Published 25 Dec 2019 in math.AG | (1912.11635v2)

Abstract: We prove that any multi-variate Hasse-Schmidt derivation can be decomposed in terms of substitution maps and uni-variate Hasse-Schmidt derivations. As a consequence we prove that the bracket of two $m$-integrable derivations is also $m$-integrable, for $m$ a positive integer or infinity.

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