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Bosonic and Fermionic Representations of Lie Algebra Central Extensions

Michael Lau
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Abstract

Given any representation of an arbitrary Lie algebra L over a field k of characteristic 0, we construct representations of L on bosonic and fermionic Fock space. The method gives an explicit formula for a (sometimes trivial) 2-cocycle in H^2(L;k). We illustrate these techniques with several concrete examples.

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BibTeXRIS

Michael Lau. 2004-05-29. Bosonic and Fermionic Representations of Lie Algebra Central Extensions. https://arxiv.org/abs/math/0405576

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