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A cohomological proof of Peterson-Kac's theorem of conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras
(Elsevier, 2014-02)
This paper deals with the problem of conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Unlike the methods used by Peterson and Kac, our approach is entirely cohomological and geometric. It is deeply rooted ...
Comments on two-loop Kac-Moody algebras
(Elsevier B.V., 1992-12-01)
It is shown that the two-loop Kac-Moody algebra is equivalent to a two-variable-loop algebra and a decoupled β-γ system. Similarly WZNW and CSW models having as algebraic structure the Kac-Moody algebra are equivalent to ...
Anomalous flow behaviour of bauxite tailings
(1994-10-01)
This paper deals with the anomalous flow behaviour observed in two bauxite tailings pumping systems, with 450 mm and 680 mm outer diameter. In order to enlarge the pipeline lengths in the field, tests were carried out in ...
Kac-Moody construction of Toda type field theories
(1991-12-01)
Using the coadjoint orbit method we derive a geometric WZWN action based on the extended two-loop Kac-Moody algebra. We show that under a hamiltonian reduction procedure, which respects conformal invariance, we obtain a ...
Induced Modules for Affine Lie Algebras
(NATL ACAD SCI UKRAINE, INST MATH, 2009)
We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence ...
Finite-Dimensional Representations of Hyper Loop Algebras over Non-algebraically Closed Fields
(SpringerDordrechtHolanda, 2010)
The Jordan structure of Lie and Kac-Moody algebras
(1992-12-01)
The authors establish a precise relation between the structures of Lie and Jordan algebras by presenting a method of constructing one type of algebra from the other. The examples of the Lie algebras associated to simple ...
Vertex operators and Jordan fields
(1988-11-24)
The construction of Lie algebras in terms of Jordan algebra generators is discussed. The key to the construction is the triality relation already incorporated into matrix products. A generalisation to Kac-Moody algebras ...