Abstract
We show that certain irreducible highest weight Vir-modules are unitarisable with the aid of unitarisability of integrable highest weight \(\hat {\mathfrak {sl}}_{2}\)-modules. The complete classification of the unitarisable Harish-Chandra modules is given as the goal of these two chapters.
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© 2011 Springer-Verlag London Limited
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Iohara, K., Koga, Y. (2011). Coset Constructions for \(\hat {\mathfrak {sl}}_{2}\) . In: Representation Theory of the Virasoro Algebra. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-0-85729-160-8_10
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DOI: https://doi.org/10.1007/978-0-85729-160-8_10
Publisher Name: Springer, London
Print ISBN: 978-0-85729-159-2
Online ISBN: 978-0-85729-160-8
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