\(U^0\)-free quantum group representations
From MaRDI portal
Publication:6140049
DOI10.1016/j.jalgebra.2023.11.037MaRDI QIDQ6140049
Yun Gao, Hongjia Chen, Xingpeng Liu, Longhui Wang
Publication date: 19 January 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Ring-theoretic aspects of quantum groups (16T20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum groups at roots of 1
- \(\mathcal{U}(\mathfrak{h})\)-free modules and coherent families
- Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
- Cuspidal representations of \(\mathfrak{sl}(n+1)\)
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Quantum deformations of certain simple modules over enveloping algebras
- Modules with bounded weight multiplicities for simple Lie algebras
- Classification of irreducible weight modules
- Higher level \(q\)-oscillator representations for \(U_q(C_n^{(1)})\), \(U_q(C^{(2)}(n+1))\) and \(U_q(B^{(1)}(0,n))\)
- A class of non-weight modules of \(U_p(\mathfrak{s} \mathfrak{l}_2)\) and Clebsch-Gordan type formulas
- Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations of \(U_q(A^{(2)}_{2n})\), \(U_q(C^{(1)}_n)\) and \(U_q(D^{(2)}_{n+1})\)
- Irreducible completely pointed modules of quantum groups of type \(A\)
- Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\)
- Sur certains groupes d'opérateurs unitaires
- Representations of quantum algebras
- Simple Cn modules with multiplicities 1 and applications
- Lie Algebra Modules with Finite Dimensional Weight Spaces, I
- A Classification of Simple Lie Modules Having a 1-Dimensional Weight Space
- Rank one polynomial modules over the quantum group of type A1
- Linear Symmetries of Free Boson Fields
This page was built for publication: \(U^0\)-free quantum group representations