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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 343, Pages 5–32 (Mi znsl109)  
This article is cited in 11 scientific papers (total in 11 papers)

Derived equivalence of symmetric special biserial algebras

M. A. Antipov

Saint-Petersburg State University
Full-text PDF (425 kB) Citations (11)
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Abstract: We introduce Brauer complex of symmetric special biserial algebra, and reformulate in terms of Brauer complex the presently known invariants of stable and derived equivalence of symmetric special biserial algebra. In particular, the genus of Brauer complex turns out to be invariant under derived equivalence. We study transformations of Brauer complexes which preserve class of derived equivalence. As a consequence, symmetric special biserial algebra with Brauer complex of genus 0 are classified.
Received: 16.04.2007
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 147, Issue 5, Pages 6981–6994
DOI: https://doi.org/10.1007/s10958-007-0524-4
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: M. A. Antipov, “Derived equivalence of symmetric special biserial algebras”, Problems in the theory of representations of algebras and groups. Part 15, Zap. Nauchn. Sem. POMI, 343, POMI, St. Petersburg, 2007, 5–32; J. Math. Sci. (N. Y.), 147:5 (2007), 6981–6994
Citation in format AMSBIB
\Bibitem{Ant07}
\by M.~A.~Antipov
\paper Derived equivalence of symmetric special biserial algebras
\inbook Problems in the theory of representations of algebras and groups. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 343
\pages 5--32
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl109}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2469411}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 147
\issue 5
\pages 6981--6994
\crossref{https://doi.org/10.1007/s10958-007-0524-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36148993545}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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