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arxiv: 0911.5402 · v1 · submitted 2009-11-28 · 🧮 math.QA · math-ph· math.MP· math.RA

Hom-quantum groups III: Representations and module Hom-algebras

Donald Yau This is my paper
classification 🧮 math.QA math-phmath.MPmath.RA
keywords hom-quantumalgebrasgroupshom-algebrashom-typemoduleprinciplesrepresentations
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We study Hom-quantum groups, their representations, and module Hom-algebras. Two Twisting Principles for Hom-type algebras are formulated, and construction results are proved following these Twisting Principles. Examples include Hom-quantum n-spaces, Hom-quantum enveloping algebras of Kac-Moody algebras, Hom-Verma modules, and Hom-type analogs of U_q(sl_2)-module-algebra structures on the quantum planes.

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  1. Four-angle Hopf modules for Hom-Hopf algebras

    math.RA 2020-06 unverdicted novelty 5.0

    Four-angle Hopf modules over Hom-Hopf algebras form monoidal categories equivalent to the braided monoidal category of Yetter-Drinfel'd modules.