Skip to main content
SpringerLink
Log in

On algebras of the Temperley—Lieb type associated with algebras generated by generators with given spectrum

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We introduce and study algebras of the Temperley—Lieb type associated with algebras generated by linearly connected generators with given spectrum. We study their representations and the sets of parameters for which representations of these algebras exist.

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. V. I. Rabanovich Y. S. Samoilenko (2000) ArticleTitleThe case where the sum of idempotents or projectors is a multiple of a unit Funkts. Anal. Prilozhen. 34 IssueID4 91–93

    Google Scholar 

  2. V. I. Rabanovich Y. S. Samoilenko (2001) ArticleTitleScalar operators representable as a sum of projectors Ukr. Mat. Zh. 53 IssueID7 939–952

    Google Scholar 

  3. S. A. Kruglyak V. I. Rabanovich Y. S. Samoilenko (2002) ArticleTitleOn sums of projectors Funkts. Anal. Prilozhen. 36 IssueID3 20–35

    Google Scholar 

  4. A. S. Mellit V. I. Rabanovich Y. S. Samoilenko (2004) ArticleTitleThe case where the sum of partial mappings is a multiple of the identity operator Funkts. Anal. Prilozhen. 38 IssueID2 17–19

    Google Scholar 

  5. M. A. Vlasenko A. S. Mellit Y. S. Samoilenko (2004) ArticleTitleOn algebras generated by linearly connected generators with given spectrum Funkts. Anal. Prilozhen. 38 IssueID4 12–23

    Google Scholar 

  6. S. V. Popovich Y. S. Samoilenko (2003) ArticleTitleOn homomorphisms of algebras generated by projectors and Coxeter functors Ukr. Mat. Zh. 55 IssueID9 1224–1237

    Google Scholar 

  7. I. M. Glazman Y. I. Lyubich (1969) Finite-Dimensional Linear Analysis in Problems Nauka Moscow

    Google Scholar 

  8. T. Ehrhardt V. Rabanovich Y. Samoilenko B. Silbermann (2001) ArticleTitleOn the decomposition of the identity into a sum of idempotents Meth. Funct. Anal. Top. 7 IssueID2 1–6

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    M. V. Zavodovskii

Authors
  1. M. V. Zavodovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 5, pp. 634–641, May, 2004.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zavodovskii, M.V. On algebras of the Temperley—Lieb type associated with algebras generated by generators with given spectrum. Ukr Math J 56, 764–773 (2004). https://doi.org/10.1007/PL00022184

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00022184

Search

Navigation