An imaginary PBW basis for quantum affine algebras of type 1

Ben Cox , Vyacheslav Futorny , Kailash C. Misra

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keywords affinemathfrakalgebrabasisimaginaryquantumtypealgebras

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Let $\hat{\mathfrak g}$ be an affine Lie algebra of type 1. We give a PBW basis for the quantum affine algebra $U_q(\hat{\mathfrak g})$ with respect to the triangular decomposition of $\hat{\mathfrak g}$ associated with the imaginary positive root system.

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An imaginary PBW basis for quantum affine algebras of type 1

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