Abstract
In the present paper we determine the representation type of the 0-Hecke algebra of a finite Coxeter group.
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Assem I, Simson D, Skowroński A. Elements of Representation Theory of Associative Algebras, vol. 1: Techniques of Representation Theory. Cambridge: Cambridge University Press, 2006
Auslander M, Reiten I, Smalø S O. Representation Theory of Artin Algebras. Cambridge Studies in Advanced Mathematics, no. 36. Cambridge: Cambridge University Press, 1995
Bongartz K, Gabriel P. Covering spaces in representation-theory. Invent Math, 1982, 65: 331–378
Carter R W. Representation theory of the 0-Hecke algebras. J Algebra, 1986, 104: 89–103
Crawley-Boevey W W. Functorial filtrations II: clans and the Gelfand problem. J London Math Soc, 1989, 40: 9–30
Deng B. On a problem of Nazarova and Roiter. Comm Math Helvetici, 2000, 75: 368–409
Deng B, Du J, Parshall B, et al. Finite dimensional algebras and quantum groups. Mathematical Surveys and Monographs Volume 150. Providence: Amer Math Soc, 2008
Donovan P W, Freislich M R. The representation theory of finite graphs and associated algebras. Carleton Math Lecture Notes, vol. 5. Ottawa: Carlefon University, 1973
Dowbor P, Skowroáski A. On the representation type of locally bounded categories. Tsukuba J Math, 1986, 10: 3–72
Drozd J A. Tame and wild matrix problems. In: Representation Theorey II, Lecture Notes in Math, vol. 832, Berlin-Heidelberg-New York: Springer, 1980, 242–258
Duchamp G, Hivert F, Thibon J Y. Noncommutative symmetric functions. VI. Free quasi-symmetric functions and related algebras, Internat. J Algebra Comput, 2002, 12: 671–717
Fayers M. 0-Hecke algebras of finite Coxeter groups. J Pure Appl Algebra, 2005, 199: 27–41
Gabriel P. Unzerlegbare Darstellungen I. Manuscripta Math, 1972, 6: 71–103
Gabriel P. Indecomposable representations II. Symp Math, 1973, 11: 81–104
Gabriel P. The universal cover of a representation-finite algebra. In: Representations of algebras, Lecture Notes in Math, 903: 68–105, Berlin-Heidelberg-New York: Springer, 1981
Krob D, Thibon J Y. Noncommutative symmetric functions. IV. Quantum linear groups and Hecke algebras at q = 0. J Algebraic Combin, 1997, 6: 339–376
Leszczyński Z. On the representation type of tensor product algebras. Fund Math, 1994, 144: 143–161
Martínez-Villa R, de la Peña J A. The universal cover of a quiver with relations. J Pure Appl Algebra, 1983, 30: 277–292
Nazarova L A. Representations of quivers of infinite type. Math USSR Izvestija Ser Mat, 1973, 7: 752–791
Norton P N. 0-Hecke algebras. J Austral Math Soc, 1979, 27: 337–357
Pierce R S. Associative algebras. Graduate Texts in Mathematics, 88. New York-Berlin: Springer-Verlag, 1982
Ringel C M. Tame algebras and integral quadratic forms. Lecture Notes in Mathematics, 1099. Berlin: Springer-Verlag, 1984
Simson D, Skowroáski A. Elements of the representation theory of associative algebras. vol. 3. In: Representation-infinite tilted algebras. London Mathematical Society Student Texts, 72. Cambridge: Cambridge University Press, 2007
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Deng, B., Yang, G. Representation type of 0-Hecke algebras. Sci. China Math. 54, 411–420 (2011). https://doi.org/10.1007/s11425-010-4145-x
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DOI: https://doi.org/10.1007/s11425-010-4145-x