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

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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.

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REFERENCES

  1. V. I. Rabanovich Yu. 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 Yu. 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 Yu. S. Samoilenko (2002) ArticleTitleOn sums of projectors Funkts. Anal. Prilozhen. 36 IssueID3 20–35

    Google Scholar 

  4. A. S. Mellit V. I. Rabanovich Yu. 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 Yu. 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 Yu. 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 Yu. I. Lyubich (1969) Finite-Dimensional Linear Analysis in Problems Nauka Moscow

    Google Scholar 

  8. T. Ehrhardt V. Rabanovich Yu. 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 

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Authors and Affiliations

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

    M. V. Zavodovskii

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

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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/s11253-005-0085-y

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  • DOI: https://doi.org/10.1007/s11253-005-0085-y

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