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Boson realisation of Virasoro and Kac-Moody algebras and their indecomposable representations

Chang-Pu Sun

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The authors give the boson realisation of Virasoro and Kac-Moody algebras without central terms and construct their indecomposable representations from some representations of the Heisenberg-Weyl algebra. The boson realisation of the Kac-Moody algebra SU(2) associated to the Lie algebra SU(2) is discussed in detail.


PACS

02.20.Sv Lie algebras of Lie groups

MSC

17B67 Kac-Moody (super)algebras (structure and representation theory)

22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx)

Subjects

Mathematical physics

Dates

Issue 17 (1 December 1987)



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