CENTRAL EXTENSIONS OF SOME LIE ALGEBRAS

@inproceedings{Wilson1998CENTRALEO,
  title={CENTRAL EXTENSIONS OF SOME LIE ALGEBRAS},
  author={Robert L. Wilson},
  year={1998}
}
We consider three Lie algebras: Der C((t)), the Lie algebra of all derivations on the algebra C((t)) of formal Laurent series; the Lie algebra of all differential operators on C((t)); and the Lie algebra of all differential operators on C((t)) ⊗ Cn. We prove that each of these Lie algebras has an essentially unique nontrivial central extension. The Lie algebra of all derivations on the Laurent polynomial algebra C[t, t−1] can also be characterized as the Lie algebra of vector fields on the… CONTINUE READING

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