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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 413, Pages 5–25 (Mi znsl5656)  

This article is cited in 7 scientific papers (total in 7 papers)

Two-term partial tilting complexes over Brauer tree algebras

M. A. Antipov, A. O. Zvonareva

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (296 kB) Citations (7)
References:
Abstract: In this paper, we describe all indecomposable two-term partial tilting complexes over a Brauer tree algebra with multiplicity 1 using a criterion for a minimal projective presentation of a module to be a partial tilting complex. As an application we describe all two-term tilting complexes over Brauer star algebra and compute their endomorphism rings.
Key words and phrases: two-term tilting complexes, Brauer tree algebras.
Received: 20.03.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 202, Issue 3, Pages 333–345
DOI: https://doi.org/10.1007/s10958-014-2046-1
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: M. A. Antipov, A. O. Zvonareva, “Two-term partial tilting complexes over Brauer tree algebras”, Problems in the theory of representations of algebras and groups. Part 24, Zap. Nauchn. Sem. POMI, 413, POMI, St. Petersburg, 2013, 5–25; J. Math. Sci. (N. Y.), 202:3 (2014), 333–345
Citation in format AMSBIB
\Bibitem{AntZvo13}
\by M.~A.~Antipov, A.~O.~Zvonareva
\paper Two-term partial tilting complexes over Brauer tree algebras
\inbook Problems in the theory of representations of algebras and groups. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 413
\pages 5--25
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5656}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3073056}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 202
\issue 3
\pages 333--345
\crossref{https://doi.org/10.1007/s10958-014-2046-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919926011}
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  • https://www.mathnet.ru/eng/znsl5656
  • https://www.mathnet.ru/eng/znsl/v413/p5
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :59
    References:42
     
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