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math.RA2017
A geometric characterization of the symplectic Lie algebra
Hans Cuypers, Yael Fleischmann
A nonzero element in a Lie algebra with Lie product is called extremal if is a multiple of for all . In this paper we characterize the…
math.RA2017
A geometric characterization of the classical Lie algebras
Hans Cuypers, Yael Fleischmann
A nonzero element x in a Lie algebra g over a field F with Lie product [ , ] is called a extremal element if [x, [x, g]] is contained in Fx. Long root elements in classical Lie alg…