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On a class of representations of the Virasoro algebra and a conjecture of Kac

โœ Scribed by C. Martin; A. Piard

Publisher
Springer
Year
1990
Tongue
English
Weight
495 KB
Volume
20
Category
Article
ISSN
0377-9017

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๐Ÿ“œ SIMILAR VOLUMES

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We dxscuss the dynamical structure of the semidirect product of the Virasoro and affine Kac-Moody groups within the framework of a group quantization formalism. This formalism provides a reahzation of the Virasoro algebra acting on Kac-Moody Fock states which generalizes the Sugawara construction. W

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In this note, we show explicitly how to obtain the structure of a Lie bialgebra on the Virasoro algebra (with or without a central extension), on the Witt algebra, and on many other Lie algebras. Previously, V. G. Drinfel'd (in a fundamental paper (1983, Soviet Math. Dokl. 27, No. 1, 68-71)), introd