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# CENTRAL EXTENSIONS OF SOME LIE ALGEBRAS

@inproceedings{Wilson1998CENTRALEO, title={CENTRAL EXTENSIONS OF SOME LIE ALGEBRAS}, author={Robert L. Wilson}, year={1998} }

- Published 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