[1] I. Assem, D. Simson, A. Skowro´
nski, Elements of the Representation theory of associative algebras Vol. 1., Techniques of Representation Theory, London Mathematical Society Student Texts vol 65. , Cambridge University
Press, Cambridge (2006).
[2] M. Auslander, I. Reiten, S. Smalø, Representation theory of Artin algebras, Cambridge Studies in Advanced
Mathematics 36, Cambridge University Press, Cambridge (1995).
[3] A. I. Bondal, Representations of associative algebras and coherent sheaves, Math. USSR Izvestia 34 (1990),
23-42.
[4] A. I. Bondal, M. M. Kapranov, Representable functors, Serre functors, and reconstructions, Math. USSR Izvestia
35 (1990), 519-541.
[5] S. Brenner, M. C. R. Butler, Generalizations of the Bernstein-Gelfand-Ponomarev reflection functors, Lecture
Notes in Math. No. 832, Springer Verlag, Berlin, Heidelberg, New York (1980), 103-169.
[6] P. Gabriel, A. V. Roiter, Representations of finite-dimensional algebras, Encyclopaedia of Mathematical Sciences
vol. 73, Algebra VIII, Springer-Velrag, Berlin, Heidelberg, New York (1992).
[7] D. Happel, On Gorenstein algebras, Representation theory of finite groups and finite-dimensional algebras
(Bielfeld, 1991), Progr. Math., 95, Birkh¨
auser, Basel (1991), 389-404.
[8] D. Happel, Triangulated Categories in the Representation Theory of Finite Dimensional Algebras, London
Mathematical Society Lecture Note Series 119, Cambridge University Press, Cambridge (1988).
[9] D. Happel, U. Seidel, Piecewise Hereditary Nakayama Algebras, Algebr. Represent. Theory 13, no. 6 (2010),
693-704.
[10] D. Huybrechts, Fourier-Mukai Transforms in Algebraic Geometry, Oxford Mathematical Monographs, The
Clarendon Press, Oxford University Press, Oxford (2006).
[11] L. A. H¨
ugel, D. Happel, H. Krause, Handbook of tilting theory, London Mathematical Society Lecture Note
Series 332, Cambridge University Press, Cambridge (2007).
[12] B. Keller, Deriving DG categories, Ann. Sci. Ecole
Norm. Sup. (4) 27 no. 1 (1994), 63-102.
[13] D. Kussin, H. Lenzing, H. Meltzer, Triangle singularities, ADE-chains, and weighted projective lines,
Adv. Math. 237 (2013), 194-251.
[14] S. Ladkani, On derived equivalences of lines, rectangles and triangles, J. Lond. Math. Soc. (2) 87 no. 1 (2013),
157-176.
[15] H. Lenzing, The E-series, Happel-Seidel symmetry, and Orlov’s theorem (2012), https://www.math.unibielefeld.de/icra2012/ presentations/icra2012 lenzing.pdf.
[16] H. Lenzing, H. Meltzer, S. Ruan, Nakayama algebras and fuchsian singularities (2022), arXiv 2112.15587v2.
[17] S. Mac Lane, Categories for the working mathematician (2nd ed), Graduate Texts in Mathematics Vol. 5,
Springer-Verlag, New York (1998).
[18] T. Nakayama, Note on uni-serial and generalized uni-serial rings, Proceedings of the Imperial Academy. Tokyo,
16, (1940), 285-289.
[19] I. Reiten, M. Van den Bergh, Noetherian hereditary abelian categories satisfying Serre duality, J. Amer. Math.
Soc. 15, no. 2 (2002), 295-366.
[20] J. Rickard, Morita theory for derived categories, J. London Math. Soc. (2) 39 no. 3, (1989), 436-546.
T. Ueda: Graduate School of Mathematics, Nagoya University
E-mail address: m15013z@math.nagoya-u.ac.jp
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