Bosonic and Fermionic Representations of Lie Algebra Central Extensions
نویسنده
چکیده
Given any representation of an arbitrary Lie algebra g over a field K of characteristic 0, we construct representations of a central extension of g on bosonic and fermionic Fock space. The method gives an explicit formula for a (sometimes trivial) 2-cocycle in H(g;K). We illustrate these techniques with several concrete examples. MSC: 17B10, 17B56, 17B65, 17B68.
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