Skip to main content
Log in

Coxeter Functors for One Class of *-Quivers

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

For one certain class of *-quivers, we construct Coxeter functors and describe their application to the description of families of orthoprojectors whose sum is a multiple of the identity operator.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. A. V. Roiter, “Bimodules over a category with coalgebra structure with involution,” in: Representations and Quadratic Forms [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1979), pp. 124–126.

    Google Scholar 

  2. V. I. Rabanovich and Yu. S. Samoilenko, “When a sum of projectors or idempotents is a multiple of the identity operator,” Funkts. Anal. Prilozhen., 34, No. 4, 91–93 (2000).

    Google Scholar 

  3. V. I. Rabanovich and Yu. S. Samoilenko, “Scalar operators representable as a sum of projectors,” Ukr. Mat. Zh., 53, No. 7, 939–952 (2001).

    Google Scholar 

  4. I. N. Bernshtein, I. M. Gel'fand, and V. A. Ponomarev, “Coxeter functors and Gabriel theorem,” Usp. Mat. Nauk, 28, Issue 2, 19–33 (1973).

    Google Scholar 

  5. S. A. Kruglyak, V. I. Rabanovich, and Yu. S. Samoilenko, “Representations of algebras generated by projectors and Coxeter functors,” Funkts. Anal. Prilozhen., 36, No. 4 (2002).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kruglyak, S.A. Coxeter Functors for One Class of *-Quivers. Ukrainian Mathematical Journal 54, 967–978 (2002). https://doi.org/10.1023/A:1021764304170

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021764304170

Keywords

Navigation