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A Commutative Family of Integral Transformations and Basic Hypergeometric Series. II. Eigenfunctions and Quasi-Eigenfunctions

Mathematics – Quantum Algebra
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A commuting q-analogue of the addition formula for disk polynomials

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A Comparison between Star Products on Regular Orbits of Compact Lie Groups

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A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)

Mathematics – Quantum Algebra
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A concept of $\frac23$PROP and deformation theory of (co)associative bialgebras

Mathematics – Quantum Algebra
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A Conjecture about Raising Operators for Macdonald Polynomials

Mathematics – Quantum Algebra
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A construction of admissible $A_1^{(1)}$-modules of level $-{4/3}$

Mathematics – Quantum Algebra
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A construction of Hopf algebra cocycles for the double Yangian $DY(SL_{2})$

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A construction of level 1 irreducible modules for $U_q(\hat{sp}_4)$ using level 2 intertwiners for $U_q(\hat{sl}_2)$

Mathematics – Quantum Algebra
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A construction of representations and quantum homogeneous spaces

Mathematics – Quantum Algebra
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A construction of representations for quantum groups: an example of Uq(so(5))

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A construction of some ideals in affine vertex algebras

Mathematics – Quantum Algebra
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A contribution of a U(1)-reducible connection to quantum invariants of links I: R-matrix and Burau representation

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A contribution of a U(1)-reducible connection to quantum invariants of links II: Links in rational homology spheres

Mathematics – Quantum Algebra
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A coset-type construction for the deformed Virasoro algebra

Mathematics – Quantum Algebra
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A Counter Example of Invariant Deformation Quantization

Mathematics – Quantum Algebra
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A counterexample to the existence of a Poisson structure on a twisted group algebra

Mathematics – Quantum Algebra
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A counterpart of the Verlinde algebra for the small quantum group

Mathematics – Quantum Algebra
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A Course in Vertex Algebra

Mathematics – Quantum Algebra
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A covariant Poisson deformation quantization with separation of variables up to the third order

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