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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cyclic homology and the Beĭlinson-Manin-Schechtman central extension
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by Ezra Getzler PDF
Proc. Amer. Math. Soc. 104 (1988), 729-734 Request permission

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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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 729-734
  • MSC: Primary 17B35; Secondary 17B65, 19D55, 32C38, 58G07
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0936774-5
  • MathSciNet review: 936774