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Differential structures in lie superalgebras

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Abstract

We develop a formal construction of an U-system as a fundamental concept of noncommutative differential geometry. By using the notion of “conditional differential” (an analog of the Hamiltonian mapping), we construct a series of brackets that generalize the classical Poisson brackets.

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Authors
  1. Yu L. Daletskii
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  2. V. A. Kushnirevich
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Daletskii, Y.L., Kushnirevich, V.A. Differential structures in lie superalgebras. Ukr Math J 48, 483–491 (1996). https://doi.org/10.1007/BF02390609

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  • DOI: https://doi.org/10.1007/BF02390609

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