Skip to main content

On actions of \(\mathbb{G}_a\) on \(\mathbb{A}^n\)

Part of the Lecture Notes in Mathematics book series (LNM,volume 1271)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Bass, A non-triangular action of \(\mathbb{G}_a\) on \(\mathbb{A}^n\), Journal of Pure and Applied Algebra 33, 1984, 1–5.

    CrossRef  MathSciNet  Google Scholar 

  2. I.R. Shafarevich, On some infinite dimensional groups, Rendiconti di Matematica e della sue applicazioni, Ser.5, Vol.25, 1966, 208–212.

    MathSciNet  MATH  Google Scholar 

  3. D. Wright, Abelian subgroups of Autk(k[X,Y]) and applications to actions on the affine plane, Illinois J.Math. 23, 1979, 579–634.

    MathSciNet  MATH  Google Scholar 

  4. R.Rentschler, Operations du groupe additif sur le plan affine, C.R.Acad.Sci. Paris, Series A, t. 267, 384–387.

    Google Scholar 

  5. T. Kambayashi, Automorphism group of a polynomial ring and algebraic group action on an affine space, J.Algebra 60, 1979, 439–451.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. M.Nagata, On automorphism group of k[x,y], Lectures in Math., Kyoto Univ. n.5, 1972, Kinokuniya-Tokio.

    Google Scholar 

  7. T.A.Springer, Invariant Theory, Lect.Notes Math. v. 585, 1977.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Additional information

To T.A. Springer on his 60th birthday

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Popov, V.L. (1987). On actions of \(\mathbb{G}_a\) on \(\mathbb{A}^n\) . In: Cohen, A.M., Hesselink, W.H., van der Kallen, W.L.J., Strooker, J.R. (eds) Algebraic Groups Utrecht 1986. Lecture Notes in Mathematics, vol 1271. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079241

Download citation

  • DOI: https://doi.org/10.1007/BFb0079241

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18234-4

  • Online ISBN: 978-3-540-47834-8

  • eBook Packages: Springer Book Archive