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- W4297801966 abstract "The expansion method of Lie algebras by a semigroup or S-expansion is generalized to act directly on the group manifold, and not only at the level of its Lie algebra. The consistency of this generalization with the dual formulation of the S-expansion is also verified. This is used to show that the Lie algebras of smooth mappings of some manifold M onto a finite-dimensional Lie algebra, such as the so called loop algebras, can be interpreted as a particular kind of S-expanded Lie algebras. We consider as an example the construction of a Yang-Mills theory for an infinite-dimensional algebra, namely loop algebra." @default.
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- W4297801966 date "2010-05-04" @default.
- W4297801966 modified "2023-09-25" @default.
- W4297801966 title "Lie Group S-Expansions and Infinite-dimensional Lie algebras" @default.
- W4297801966 doi "https://doi.org/10.48550/arxiv.1005.0495" @default.
- W4297801966 hasPublicationYear "2010" @default.
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