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Formal Group Laws for Affine Kac-Moody groups and group quantization

✍ Scribed by Victor Aldaya; Jose Navarro-Salas


Publisher
Springer
Year
1987
Tongue
English
Weight
752 KB
Volume
113
Category
Article
ISSN
0010-3616

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We give a complete and explicit description for all two-dimensional representations of non-twisted affine Kac-Moody groups. Those representations are found having a unique form characterized by homomorphisms between the base fields. The homomorphisms from affine Kac-Moody groups to two-dimensional l

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✍ Victor Aldaya; Jose Navarro-Salas πŸ“‚ Article πŸ“… 1988 πŸ› Springer 🌐 English βš– 354 KB

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