Buchumschlag

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...

Ausführliche Beschreibung

Gespeichert in:
1. Verfasser: Beck, Stefan
Beteiligte: Heckenberger, I. (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Sprache:Englisch
Veröffentlicht: Philipps-Universität Marburg 2016
Schlagworte:
Mathematik
Rechtskoidealunteralgebra
Sphärische Rechtskoidealunteralgebra
Quantum groups (quantized enveloping algebras) and related deformations
Right Coideal Subalgebra
Quantengruppe
Lie-Theorie
Quantum Homogeneous Space
Homogener Raum
Spherical Right Coideal Subalgebra
Quantenhomogener Raum
Algebra
Darstellungstheorie
Mathematics
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Beschreibung
Zusammenfassung: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.
Umfang:69 Seiten
DOI:10.17192/z2016.0217

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