caa a22 4500 606160663 CHVBK 20210128100631.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10468-014-9487-6 doi (NATIONALLICENCE)springer-10.1007/s10468-014-9487-6 Chan Aaron Institute of Pure and Applied Mathematics, University of Aberdeen, AB24 3UE, Aberdeen, UK aut Two-term Tilting Complexes and Simple-minded Systems of Self-injective Nakayama Algebras [Elektronische Daten] [Aaron Chan] We study the relation between simple-minded systems and two-term tilting complexes for self-injective Nakayama algebras. More precisely, we show that any simple-minded system of a self-injective Nakayama algebra is the image of the set of simple modules under a stable equivalence, which is given by the restriction of a standard derived equivalence induced by a two-term tilting complex. We achieve this by exploiting and connecting the mutation theories from the combinatorics of Brauer tree, configurations of stable translations quivers of type A, and triangulations of a punctured convex regular polygon. Springer Science+Business Media Dordrecht, 2014 Simple-minded system nationallicence (Two-term) tilting complex nationallicence Brauer tree nationallicence Configuration nationallicence Triangulation nationallicence Mutation nationallicence Algebras and Representation Theory Springer Netherlands 18/1(2015-02-01), 183-203 1386-923X 18:1<183 2015 18 10468 https://doi.org/10.1007/s10468-014-9487-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10468-014-9487-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chan Aaron Institute of Pure and Applied Mathematics, University of Aberdeen, AB24 3UE, Aberdeen, UK aut NATIONALLICENCE 773 0- Algebras and Representation Theory Springer Netherlands 18/1(2015-02-01), 183-203 1386-923X 18:1<183 2015 18 10468