Lie algebra representations of dimension 𝑝-1

Strade, Helmut

doi:10.1090/S0002-9939-1973-0330247-8

Lie algebra representations of dimension $p-1$
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Proc. Amer. Math. Soc. 41 (1973), 419-424 Request permission

Abstract:

A semisimple Lie algebra over an algebraically closed field of characteristic $p > 2$ admitting a faithful representation of dimension $p - 1$ is either a direct sum of classical algebras or the Witt algebra.

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