B-Stable Ideals in the Nilradical of a Borel Subalgebra

Canadian Mathematical Bulletin - Tập 48 Số 3 - Trang 460-472 - 2005
Eric Sommers1
1University of Massachusetts—Amherst, Amherst, MA 01003, Institute for Advanced Study, Princeton, NJ 08540 e-mail:

Tóm tắt

AbstractWe 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 of ideals whose minimal roots are conjugate to a fixed subset of simple roots.

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Canadian Mathematical Bulletin

Tập 48 Số 3

460-472

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