Abstract
The tilting equivalence for a certain class of ℤ-graded Lie algebras is explained. In particular, for the Virasoro algebra, this explains the structural duality between Verma modules with highest weights (c,h) and (26−c,1−h) which can be observed by analyzing Verma modules. This chapter can be read independently of other chapters.
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© 2011 Springer-Verlag London Limited
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Iohara, K., Koga, Y. (2011). A Duality among Verma Modules. In: Representation Theory of the Virasoro Algebra. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-0-85729-160-8_7
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DOI: https://doi.org/10.1007/978-0-85729-160-8_7
Publisher Name: Springer, London
Print ISBN: 978-0-85729-159-2
Online ISBN: 978-0-85729-160-8
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