By Wendt R.
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J. : The arithmetic theory of loop groups. Publ. Math. : Structure of unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. J. Reine Angew. Math. : On unstable bundles over elliptic curves. Publ. Res. Inst. Math. Sci. : Infinite-dimensional Lie Algebras. : Lie algebra cohomology and the generalized Borel-Weil theorem. Ann. of Math. :Root Systems and Elliptic Curves. Invent. Math. : Conjugacy classes of non-connected semisimple algebraic groups. PhD thesis, Univ.
J. : Principal bundles over elliptic curves. : Holomorphic principal bundles over elliptic curves. II. The parabolic construction. J. Differential Geom. : Some automorphisms of generalized Kac-Moody algebras. J. : The action of Outer Automorphisms on Bundles of Chiral Blocks. Comm. Math. Phys. : From Dynkin diagram symmetries to fixed point structures. Comm. Math. Phys. : The arithmetic theory of loop algebras. J. : The arithmetic theory of loop groups. Publ. Math. : Structure of unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
In this case, one has to consider the full automorphism group of the extended Dynkin diagram of . 7. If is the root system of an affine Lie algebra L(g), and σ is an automorphism of the Dynkin diagram of then the affine Lie algebra corresponding to the root system σ is often called the orbit Lie algebra corresponding to L(g) and σ . The appearance of the root system σ was also realized in [FRS] [FSS], where for an outer automorphism σ of a (generalized) Kac-Moody Lie algebra g, the σ -twisted characters of highest weight representations are calculated.