Affine Lie algebras and the Virasoro algebra I
Copyright policy )Affine Lie algebras and the Virasoro algebra I
A natural Lie algebra structure is obtained for a 2-dimensional central extension of an affine Lie algebra and its natural derivations. Moreover highest weight modules are extended, which induce representations for the Virasoro algebra embedded. Some applications are discussed, like characterization of homogeneous \(\tau\)-functions and intertwining operators.
- Hiroshima University Japan
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Virasoro algebra, affine Lie algebra, representations, homogeneous \(\tau \)-functions, Infinite-dimensional Lie (super)algebras, Kac-Moody algebra, intertwining operators, highest weight
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Virasoro algebra, affine Lie algebra, representations, homogeneous \(\tau \)-functions, Infinite-dimensional Lie (super)algebras, Kac-Moody algebra, intertwining operators, highest weight
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