Bosonic and Fermionic Representations of Lie Algebra Central Extensions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71381Given 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.25 pagesRepresentation TheoryMathematical Physics17B10 (Primary) 17B56, 17B65, 17B68 (Secondary)Bosonic and Fermionic Representations of Lie Algebra Central Extensionstext