Nilpotent Orbits in the Symplectic and Orthogonal Groups.

Goldstein, Ellen.

Abstract: Let K be an algebraically closed field of arbitrary characteristic and consider a linear algebraic group G over K and its Lie algebra g. For X an element of g, denote by O the orbit of X under the action of G on g defined by the adjoint representation. The Zariski closure of O is then a subvariety of g. For G equal to either the orthogonal or symplectic group, Kraft and Procesi showed th... read more

Tufts University. Department of Mathematics.
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