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A System of Quadrics Describing the Orbit of the Highest Weight Vector
Proceedings of the American Mathematical Society
Vol. 84, No. 4 (Apr., 1982), pp. 605-608
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2044044
Page Count: 4
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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 $PV$.
Proceedings of the American Mathematical Society © 1982 American Mathematical Society