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