Abstract:
We give a highest weight classification of the finite-dimensional irreducible representations of twisted quantum affine algebras. As in the untwisted case, such representations are in one-to-one correspondence with n-tuples of monic polynomials in one variable. But whereas in the untwisted case $n$ is the rank of the underlying finite-dimensional complex simple Lie algebra ?, in the twisted case n is the rank of the subalgebra of ? fixed by the diagram automorphism. The way in which such an n-tuple determines a representation is also more complicated than in the untwisted case.
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Received: 20 October 1996/ Accepted: 19 February 1998
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Chari, V., Pressley, A. Twisted Quantum Affine Algebras . Comm Math Phys 196, 461–476 (1998). https://doi.org/10.1007/s002200050431
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DOI: https://doi.org/10.1007/s002200050431