Central dependencies in quantum algebras

Structure of the center of the quantum algebra Uq(sl2) is analyzed in detail for both cases when deformation parameter q is/is not a root of unity. It is shown that the result can be obtained in a pure algebraic way without considering representation theory.

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Bibliographic Details
Published in:Journal of physics. Conference series 2012-01, Vol.346 (1), p.12002-7
Main Authors: Bacovsky, Martin, Havlicek, Miloslav, Posta, Severin
Format: Article
Language:English
Subjects:
Algebra
Deformation
Physics
Representations
Roots
Unity
Citations: Items that this one cites
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Description
Summary:Structure of the center of the quantum algebra Uq(sl2) is analyzed in detail for both cases when deformation parameter q is/is not a root of unity. It is shown that the result can be obtained in a pure algebraic way without considering representation theory.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/346/1/012002