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Local derivations on Borel subalgebras of finite-dimensional simple Lie algebras

Yalong YuCollege of Mathematics and Informatics and FJKLMAA, Fujian Normal University, Fuzhou, P. R. ChinaZhengxin ChenCollege of Mathematics and Informatics and FJKLMAA, Fujian Normal University, Fuzhou, P. R. China
2019en
ABI

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Let F be an algebraically closed field of characteristic 0, let L be a finite-dimensional simple Lie algebra over F, and let B be the standard Borel subalgebra of L. In this paper we prove that every local derivation of B is a derivation.

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