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

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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Главный автор: Beck, Stefan
Другие авторы: Heckenberger, I. (Prof. Dr.) (Научный руководитель)
Формат: Dissertation
Язык:английский
Опубликовано: Philipps-Universität Marburg 2016
Предметы:
Quantenhomogener Raum
Mathematik
Rechtskoidealunteralgebra
Quantum groups (quantized enveloping algebras) and related deformations
Right Coideal Subalgebra
Sphärische Rechtskoidealunteralgebra
Quantengruppe
Lie-Theorie
Homogener Raum
Quantum Homogeneous Space
Spherical Right Coideal Subalgebra
Algebra
Darstellungstheorie
Mathematics
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Итог: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.
Объем:69 Seiten
DOI:10.17192/z2016.0217

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