On multiplicity-free weight modules over quantum affine algebras

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

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Crystal bases and two-sided cells of quantum affine algebras
Drinfeld realization of affine quantum algebras: the relations
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 affine algebras
Twisted quantum affine algebras
Braid group action and quantum affine algebras
Modules with bounded weight multiplicities for simple Lie algebras
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Classification of irreducible weight modules
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From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: injectivity
Irreducible completely pointed modules of quantum groups of type $A$
Representations of quantum affinizations and fusion product
Simple $C_n$ modules with multiplicities $1$ and applications
The R-matrix for (twisted) affine quantum algebras
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Oscillator versus prefundamental representations. II. Arbitrary higher ranks
Unipotent Quantum Coordinate Ring and Prefundamental Representations for TypesAn(1) andDn(1)
Introduction to quantum groups
Affinization of $q$-oscillator representations of $U_q (\mathfrak{gl}_n)$
$U^0$-free quantum group representations

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