Skip to main content
SpringerLink
Log in

Quantization of poisson superalgebras and speciality of jordan poisson superalgebras

  • Published:
Algebra and Logic Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. I. L. Kantor, “Jordan and Lie superalgebras defined by Poisson algebras,” in:The Second Siberian School (Tomsk). Algebra and Analysis [in Russian], VINITI, No. 30, 89–125 (1990).

  2. D. King and K. McCrimmon, “The Kantor construction of Jordan superalgebras,”Commun. Algebra,20, No. 1, 109–126 (1992).

    Google Scholar 

  3. K. McCrimmon, “Speciality and non-speciality of two Jordan superalgebras,”J. Algebra,149, No. 2, 326–351 (1992).

    Google Scholar 

  4. V. G. Skosyrskii, “i-Speciality of the Jordan superalgebra of Poisson brackets,” to appear in:Algebra Logika.

  5. I. P. Shestakov, “Quantization of Poisson algebras and weak speciality of related Jordan superalgebras,” to appear in:Dokl. Ros. Akad. Nauk.

  6. J. C. Baez, “R-commutative geometry and quantization of Poisson algebras,”Adv. Math.,95, 61–91 (1992).

    Google Scholar 

  7. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, “Deformation theory and quantization. I. Deformations of symplectic structures,”Ann. Phys.,111, 61–110 (1978).

    Google Scholar 

  8. H. Omori, Y. Maeda, and A. Yoshioka, “Weyl manifolds and deformation quantization,”Adv. Math.,85, 224–255 (1991).

    Google Scholar 

Download references

Authors
  1. I. P. Shestakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromAlgebra i Logika, Vol. 32, No. 5, pp. 571–584, September–October, 1993.

Translated by the author

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shestakov, I.P. Quantization of poisson superalgebras and speciality of jordan poisson superalgebras. Algebr Logic 32, 309–317 (1993). https://doi.org/10.1007/BF02261711

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02261711

Keywords

Search

Navigation