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We discuss a method to classify all Hopf subalgebras of a certain class of pointed Hopf algebras including quantized universal enveloping algebras and Frobenius–Lusztig kernels. We find factor Hopf algebras of the dual quotients of the coordinate rings of quantumGL(n). We consider a large class of quasitriangular structures for the Frobenius–Lusztig kernels and compute ribbon elements
An alternative description of the Frobenius–Lusztig kernels and restricted specializations is presented and used to find their coradical filtrations, automorphisms, and imbeddings. Moreover, factor Hopf algebras of the Frobenius–Lusztig kernels are determined.
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