Quantum affine Schubert cells and FRT-bialgebras: The case

De Concini, Kac, and Procesi defined a family of subalgebras associated with elements w in the Weyl group of a simple Lie algebra g. These algebras are called quantum Schubert cell algebras. We show that, up to a mild cocycle twist, quotients of certain quantum Schubert cell algebras of types E6 and map isomorphically onto distinguished subalgebras of the Faddeev–Reshetikhin–Takhtajan universal bialgebra associated with the braiding on the quantum half-spin representation of Uq(so10). We identify the quotients as those obtained by factoring out the quantum Schubert cell algebras by ideals generated by certain submodules with respect to the adjoint action of Uq(so10).