The presented thesis describes a new family of spherical right coideal subalgebras of quantum universal enveloping algebras of type A_n. The description of the spherical right coideal subalgebras is given in terms of PBW-type elements. The representation theory is derived from quantum universal enveloping algebras of type A_n. The resulting quantum homogeneous space is compared with an already known one.
RechtskoidealunteralgebraQuantenhomogener RaumSphärische RechtskoidealunteralgebraSpherical Right Coideal SubalgebraQuantum Homogeneous SpaceQuantum groups (quantized enveloping algebras) and related deformationsRight Coideal Subalgebra
Beck, Stefan: A Family of Right Coideal Subalgebras of U_q(sl_(n+1)). : Philipps-Universität Marburg 2016-06-08. DOI: https://doi.org/10.17192/z2016.0217.
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