We generalize I. Frenkel's orbital theory for non twisted affine Lie algebras to the case of twisted affine Lie algebras using a character formula for certain nonconnected compact Lie groups.
A Character Correspondence for Twisted Group Algebras
β Scribed by A. Laradji
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 123 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let M be a factor with separable predual and G a compact group of automorphisms of M whose action is minimal, i.e., M G$ & M=C, where M G denotes the G-fixed point subalgebra. Then every intermediate von Neumann algebra M G /N/M has the form N=M H for some closed subgroup H of G. An extension of thi
1999, J. Algebra, 221, 293α314 . This allows us to construct various non-parabolic subalgebras of H H . We construct all the irreducible representations of H H as n, r n, r induced modules from such subalgebras. We show the existence of a partition of unity in H H , which is specialized to a partiti