Advertisement

Ukrainian Mathematical Journal

, Volume 56, Issue 7, pp 1189–1195 | Cite as

On coxeter functors for some classes of algebras generated by idempotents

  • S. A. Kruglyak
Article
  • 15 Downloads

Abstract

For an algebra generated by linearly connected idempotents, we describe the construction of Coxeter functors on the category of representations of the algebra in the category of Banach spaces.

Keywords

Banach Space Coxeter Functor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. 1.
    Rabanovich, V. I., Samoilenko, Y. S. 2000When the sum of idempotents or projectors is a multiple of identityFunkts. Anal. Prilozhen.349193Google Scholar
  2. 2.
    Rabanovich, V. I., Samoilenko, Y. S. 2001When a scalar operator is representable by a sum of projectorsUkr. Mat. Zh.53939952Google Scholar
  3. 3.
    Kruglyak, S. A., Rabanovich, V. I., Samoilenko, Y. S. 2002On sums of projectorsFunkts. Anal. Prilozhen.343035Google Scholar
  4. 4.
    Kruglyak, S. A. 2002Coxeter functors for a certain class of *-quivers and *-algebrasMeth. Funct. Anal. Top.84958Google Scholar
  5. 5.
    Kruglyak, S. A. 2002Coxeter functors for one class of *-quiversUkr. Mat. Zh.54789797Google Scholar
  6. 6.
    Popovich, S. V., Samoilenko, Y. S. 2003On homomorphisms of algebras generated by projectors and Coxeter functorsUkr. Mat. Zh.5512241237Google Scholar
  7. 7.
    Faddeev, D. K. 1984Lectures on AlgebraNaukaMoscowin RussianGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  • S. A. Kruglyak
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

Personalised recommendations