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math.RT1998
The Polynomial Behavior of Weight Multiplicities for the Affine Kac-Moody Algebras
Georgia Benkart, Seok-Jin Kang, Hyeonmi Lee +2
We prove that the multiplicity of an arbitrary dominant weight for an integrable highest weight representation of the affine Kac-Moody algebra is a polynomial in the…
math.QA1998
Level One Representations of Quantum Affine Algebras
Naihuan Jing, Yoshitaka Koyama, Kailash Misra
We give explicit constructions of quantum symplectic affine algebras at level 1 using vertex operators.