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For the Borel part of a quantized enveloping algebra, we classify all right coideal subalgebras for which the intersection with the coradical is a Hopf algebra. The result is expressed in terms of characters of the subalgebras  U  + [ w ] of the quantized enveloping algebra, introduced by de Concini, Kac, and Procesi for any Weyl group element  w . We explicitly determine all characters of  U  + [ w ] building on recent work by Yakimov on prime ideals of  U  + [ w ] which are invariant under a torus action.

Right Coideal Subalgebras of the Borel Part of a Quantized Enveloping Algebra