A system of quadrics describing the orbit of the highest weight vector

Lichtenstein, Woody

doi:10.1090/S0002-9939-1982-0643758-8

A system of quadrics describing the orbit of the highest weight vector
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Proc. Amer. Math. Soc. 84 (1982), 605-608 Request permission

Abstract:

Let $G$ be a complex semisimple Lie group acting irreducibly on a finite dimensional vector space $V$. A simple method is given for constructing a system of quadratic equations which defines the orbit of the highest weight vector in the projective space $PV$.

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