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On coxeter functors for some classes of algebras generated by idempotents

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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.

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Authors and Affiliations

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

    S. A. Kruglyak

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  1. S. A. Kruglyak
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 7, pp. 996–1001, July, 2004.

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Kruglyak, S.A. On coxeter functors for some classes of algebras generated by idempotents. Ukr Math J 56, 1189–1195 (2004). https://doi.org/10.1007/PL00022201

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  • DOI: https://doi.org/10.1007/PL00022201

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