Skip to main content
SpringerLink
Log in

Colength of the variety generated by a three-dimensional simple Lie algebra

  • Published:
Moscow University Mathematics Bulletin Aims and scope

Abstract

The variety generated by a three-dimensional simple Lie algebra over a field of characteristic zero was studied rather well. The study of this variety is continued in the paper and a formula for calculation of its colengths is presented.

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

Similar content being viewed by others

References

  1. Yu. A. Bakhturin, Identities in Lie Algebras (Nauka, Moscow, 1980) [in Russian].

  2. A. Giambruno and M. Zaicev, Polynomial Identities and Asymptotic Methods. Math. Surveys and Monogr., Vol. 122 (Amer. Math. Soc., Providence, RI, 2005).

  3. S. P Mishchenko, “Growth of Varieties of Lie Algebras,” Uspekhi Matem. Nauk 45 (6(276)), 25 (1990).

    MathSciNet  Google Scholar 

  4. Yu. P. Razmyslov, “Finite Basis Property of Identities of a Second Order Matrix Algebra over a Field of Characteriztic Zero,” Algebra i Logika 12 (1), 83 (1973).

    Article  MathSciNet  Google Scholar 

  5. Yu. P. Razmyslov, “Finite Basis Property of Certain Varieties of Algebras,” Algebra i Logika 13 (6), 685 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  6. V. S. Drenski, “Representations of a Symmetric Group and Varieties of Linear Algebras,” Matem. Sborn. 115 (1(5)), 98 (1980).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mathematics and Information Technology, Ulyanovsk State University, 42, Lev Tolstoy Str., Ulyanovsk, 432017, Russia

    Yu. R. Pestova

Authors
  1. Yu. R. Pestova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu. R. Pestova.

Additional information

Original Russian Text © Yu.R. Pestova, 2015, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 3, pp. 58–61.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pestova, Y.R. Colength of the variety generated by a three-dimensional simple Lie algebra. Moscow Univ. Math. Bull. 70, 144–147 (2015). https://doi.org/10.3103/S0027132215030092

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027132215030092

Keywords

Search

Navigation