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\(U^0\)-free quantum group representations - MaRDI portal

\(U^0\)-free quantum group representations (Q6140049)

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scientific article; zbMATH DE number 7791769

Language	Label	Description	Also known as
English	\(U^0\)-free quantum group representations	scientific article; zbMATH DE number 7791769

Statements

scholarly article

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\(U^0\)-free quantum group representations (English)

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Journal of Algebra

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publication date

19 January 2024

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zbMATH Keywords

quantum groups

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Lie algebras

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non-weight modules

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bounded weight modules

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MaRDI profile type

MaRDI publication profile

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Representations of quantum algebras

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Modules with bounded weight multiplicities for simple Lie algebras

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Simple <i>C<sub>n</sub></i> modules with multiplicities 1 and applications

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A Classification of Simple Lie Modules Having a 1-Dimensional Weight Space

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A class of non-weight modules of \(U_p(\mathfrak{s} \mathfrak{l}_2)\) and Clebsch-Gordan type formulas

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Lie Algebra Modules with Finite Dimensional Weight Spaces, I

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Irreducible completely pointed modules of quantum groups of type \(A\)

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Cuspidal representations of \(\mathfrak{sl}(n+1)\)

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Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras

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A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation

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Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations of \(U_q(A^{(2)}_{2n})\), \(U_q(C^{(1)}_n)\) and \(U_q(D^{(2)}_{n+1})\)

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Higher level \(q\)-oscillator representations for \(U_q(C_n^{(1)})\), \(U_q(C^{(2)}(n+1))\) and \(U_q(B^{(1)}(0,n))\)

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Quantum deformations of certain simple modules over enveloping algebras

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Quantum groups at roots of 1

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Classification of irreducible weight modules

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Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\)

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\(\mathcal{U}(\mathfrak{h})\)-free modules and coherent families

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Linear Symmetries of Free Boson Fields

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Sur certains groupes d'opérateurs unitaires

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Rank one polynomial modules over the quantum group of type <i>A</i><sub>1</sub>

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JALGEBRA.2023.11.037

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Sitelinks

Mathematics(1 entry)

mardi Publication:6140049

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