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math.QA2019
On Borel subalgebras of quantum groups
Simon D. Lentner, Karolina Vocke
For a quantum group, we study those right coideal subalgebras, for which all irreducible representations are one-dimensional. If a right coideal subalgebra is maximal with this pro…
math.QA2018★ 5 cited
On right coideal subalgebras of quantum groups
Karolina Vocke
Right coideal subalgebras are interesting substructures of Hopf algebras such as quantum groups. Examples of right coideal subalgebras are the quantum Borel part as well as quantum…
math.QA2017★ 1 cited
A family of new Borel subalgebras of quantum groups
S. Lentner, K. Vocke
We construct a family of right coideal subalgebras of quantum groups, which have the property that all irreducible representations are one-dimensional, and which are maximal with t…