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arXiv · 2204.08773

$Q\widetilde{Q}$-systems for twisted quantum affine algebras

Keyu Wang
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Abstract

We establish the $Q \widetilde{Q}$-systems for the twisted quantum affine algebras that were conjectured in arXiv:1606.05301. We develop the representation theory of Borel subalgebra of twisted quantum affine algebras and we construct their prefundamental representations. We also propose a general conjecture on the relations between twisted and non-twisted types. We prove this conjecture for some particular classes of representations, including prefundamental representations.

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BibTeXRIS

Keyu Wang. 2022-04-19. $Q\widetilde{Q}$-systems for twisted quantum affine algebras. https://doi.org/10.1007/s00220-022-04616-2

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