A Family of Right Coideal Subalgebras of U_q(sl_(n+1))

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 enve...

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Bibliographic Details
Main Author: Beck, Stefan
Contributors: Heckenberger, I. (Prof. Dr.) (Thesis advisor)
Format: Dissertation
Language:English
Published: Philipps-Universität Marburg 2016
Reine und Angewandte Mathematik
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Summary: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.
Physical Description:69 pages.
DOI:https://doi.org/10.17192/z2016.0217