Abstract:We classify irreducible representations of simple algebraic groups in arbitrary characteristic which have an orbit of low codimension. For each indecomposable root system X n we give a polynomial function f which is cubic in n and we list all irreducible representations of the simply connected simple algebraic group G of type X n which have an orbit of codimension less than or equal to f X n . For all these irreducible representations, we determine the codimension of the largest orbit or at least give narrow b… Show more
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