For the Virasoro algebra, the problems of classifying bounded admissible representations, on the one hand, and finite-length extensions of highest weight modules, on the other hand, are wild: they are as complicated as the problem of classifying a pair of matrices. This follows from results by Martin and Piard and Feigin and Fuchs.
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CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, FranceCEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France
Gainutdinov, Azat M.
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Jacobsen, Jesper Lykke
Saleur, Hubert
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CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France
Univ So Calif, Dept Phys, Los Angeles, CA 90089 USACEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France
Saleur, Hubert
Vasseur, Romain
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CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France
LPTENS, F-75231 Paris, FranceCEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France