Simple Lie algebras of toral rank one
Simple Lie algebras of toral rank one
Let <italic>L</italic> be a finite-dimensional simple Lie algebra over an algebraically closed field of characteristic <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p greater-than 7"> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>></mml:mo> <mml:mn>7</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">p > 7</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. Let <italic>L</italic> have Cartan decomposition <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L equals upper H plus …