Abstract
We introduce the Virasoro algebra Vir as the universal central extension of the Witt algebra. This Lie algebra is a ℤ-graded Lie algebra and it is appropriate to work within the framework of what we call Q-graded Lie algebras. Hence, we also present a categorical setup for representations of Q-graded Lie algebras and some of their properties such as local composition series, (co)homologies, and Berstein-Gelfand-Gelfand duality.
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© 2011 Springer-Verlag London Limited
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Iohara, K., Koga, Y. (2011). Preliminary. In: Representation Theory of the Virasoro Algebra. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-0-85729-160-8_1
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DOI: https://doi.org/10.1007/978-0-85729-160-8_1
Publisher Name: Springer, London
Print ISBN: 978-0-85729-159-2
Online ISBN: 978-0-85729-160-8
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