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<i>B</i>-Stable Ideals in the Nilradical of a Borel Subalgebra

<i>B</i>-Stable Ideals in the Nilradical of a Borel Subalgebra

Abstract We count the number of strictly positive B -stable ideals in the nilradical of a Borel subalgebra and prove that the minimal roots of any B -stable ideal are conjugate by an element of the Weyl group to a subset of the simple roots. We also count the number …