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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Cyclic homology and the Beĭlinson-Manin-Schechtman central extension


Author: Ezra Getzler
Journal: Proc. Amer. Math. Soc. 104 (1988), 729-734
MSC: Primary 17B35; Secondary 17B65, 19D55, 32C38, 58G07
MathSciNet review: 936774
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Abstract: We construct central extensions of the Lie algebra of differential operators on a one-dimensional affine variety over a field of characteristic zero, generalizing the Virasoro extension. The construction is an application of recent calculations of the Hochschild and cyclic homology of algebras of differential operators.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0936774-5
PII: S 0002-9939(1988)0936774-5
Article copyright: © Copyright 1988 American Mathematical Society