Barot, Michael Introduction to the representation theory of algebras. (English) Zbl 1330.16001 Cham: Springer (ISBN 978-3-319-11474-3/pbk; 978-3-319-11475-0/ebook). x, 179 p. (2015). Reviewer: Justyna Kosakowska (Toruń) MSC: 16-02 16Gxx 16G10 16G20 16G60 16G70 16D90 PDFBibTeX XMLCite \textit{M. Barot}, Introduction to the representation theory of algebras. Cham: Springer (2015; Zbl 1330.16001) Full Text: DOI
Barot, M.; Geiss, Ch.; Jasso, G. Tubular cluster algebras. II: Exponential growth. (English) Zbl 1317.13050 J. Pure Appl. Algebra 217, No. 10, 1825-1837 (2013). MSC: 13F60 16E35 16G20 18E30 PDFBibTeX XMLCite \textit{M. Barot} et al., J. Pure Appl. Algebra 217, No. 10, 1825--1837 (2013; Zbl 1317.13050) Full Text: DOI arXiv
Barot, Michael; Trepode, Sonia Cluster tilted algebras with a cyclically oriented quiver. (English) Zbl 1305.16008 Commun. Algebra 41, No. 10, 3613-3628 (2013). Reviewer: Robert Marsh (Leeds) MSC: 16G20 16G70 18E30 16E35 13F60 PDFBibTeX XMLCite \textit{M. Barot} and \textit{S. Trepode}, Commun. Algebra 41, No. 10, 3613--3628 (2013; Zbl 1305.16008) Full Text: DOI arXiv
Barot, Michael; Geiss, Christof Tubular cluster algebras. I: Categorification. (English) Zbl 1271.13042 Math. Z. 271, No. 3-4, 1091-1115 (2012). Reviewer: Robert Marsh (Leeds) MSC: 13F60 16G20 14F05 18E30 57Q15 PDFBibTeX XMLCite \textit{M. Barot} and \textit{C. Geiss}, Math. Z. 271, No. 3--4, 1091--1115 (2012; Zbl 1271.13042) Full Text: DOI arXiv
Barot, M.; Kussin, D.; Lenzing, H. The cluster category of a canonical algebra. (English) Zbl 1209.18010 Trans. Am. Math. Soc. 362, No. 8, 4313-4330 (2010). Reviewer: Robert Marsh (Leeds) MSC: 18E30 16G20 13F60 14F05 18F20 PDFBibTeX XMLCite \textit{M. Barot} et al., Trans. Am. Math. Soc. 362, No. 8, 4313--4330 (2010; Zbl 1209.18010) Full Text: DOI arXiv
Barot, Michael; Fernández, Elsa; Platzeck, María Inés; Pratti, Nilda Isabel; Trepode, Sonia From iterated tilted algebras to cluster-tilted algebras. (English) Zbl 1204.16007 Adv. Math. 223, No. 4, 1468-1494 (2010). Reviewer: Robert Marsh (Leeds) MSC: 16G20 13F60 18E30 16G70 PDFBibTeX XMLCite \textit{M. Barot} et al., Adv. Math. 223, No. 4, 1468--1494 (2010; Zbl 1204.16007) Full Text: DOI arXiv
Barot, M.; Kussin, D.; Lenzing, H. The Grothendieck group of a cluster category. (English) Zbl 1148.16005 J. Pure Appl. Algebra 212, No. 1, 33-46 (2008). Reviewer: Robert Marsh (Leeds) MSC: 16E20 16G20 18E30 PDFBibTeX XMLCite \textit{M. Barot} et al., J. Pure Appl. Algebra 212, No. 1, 33--46 (2008; Zbl 1148.16005) Full Text: DOI arXiv
Barot, M.; Mendoza, O. An explicit construction for the Happel functor. (English) Zbl 1137.16008 Colloq. Math. 104, No. 1, 141-149 (2006). MSC: 16D90 18E30 16G30 PDFBibTeX XMLCite \textit{M. Barot} and \textit{O. Mendoza}, Colloq. Math. 104, No. 1, 141--149 (2006; Zbl 1137.16008) Full Text: DOI
Barot, Michael; Lenzing, Helmut One-point extensions and derived equivalence. (English) Zbl 1060.16011 J. Algebra 264, No. 1, 1-5 (2003). MSC: 16G10 16D90 PDFBibTeX XMLCite \textit{M. Barot} and \textit{H. Lenzing}, J. Algebra 264, No. 1, 1--5 (2003; Zbl 1060.16011) Full Text: DOI
Barot, M.; Schröer, Jan Module varieties over canonical algebras. (English) Zbl 1036.16010 J. Algebra 246, No. 1, 175-192 (2001). MSC: 16G20 16D90 PDFBibTeX XMLCite \textit{M. Barot} and \textit{J. Schröer}, J. Algebra 246, No. 1, 175--192 (2001; Zbl 1036.16010) Full Text: DOI
Barot, Michael; Brüstle, Thomas; de la Peña, José Antonio Derived-tame tree algebras of type \(E\). (English) Zbl 0976.16014 Forum Math. 12, No. 6, 713-721 (2000). Reviewer: S.Kasjan (Toruń) MSC: 16G60 18E30 15A63 16G20 PDFBibTeX XMLCite \textit{M. Barot} et al., Forum Math. 12, No. 6, 713--721 (2000; Zbl 0976.16014) Full Text: DOI
Barot, M. Representation-finite derived tubular algebras. (English) Zbl 0962.16010 Arch. Math. 74, No. 2, 89-94 (2000). Reviewer: Hagen Meltzer (Paderborn) MSC: 16G60 16G20 18E30 PDFBibTeX XMLCite \textit{M. Barot}, Arch. Math. 74, No. 2, 89--94 (2000; Zbl 0962.16010) Full Text: DOI
Barot, M.; de la Peña, J. A. Derived tubularity: a computational approach. (English) Zbl 1058.16504 Dräxler, P. (ed.) et al., Computational methods for representations of groups and algebras. Proceedings of the Euroconference in Essen, Germany, April 1–5, 1997. Basel: Birkhäuser (ISBN 3-7643-6063-1/hbk). Prog. Math. 173, 87-106 (1999). MSC: 16G20 16G60 18E30 15A63 PDFBibTeX XMLCite \textit{M. Barot} and \textit{J. A. de la Peña}, Prog. Math. 173, 87--106 (1999; Zbl 1058.16504)
Barot, M.; de la Peña, J. A. Algebras whose Euler form is non-negative. (English) Zbl 0942.16019 Colloq. Math. 79, No. 1, 119-131 (1999). Reviewer: D.Simson (Toruń) MSC: 16G30 15A63 16D90 18E30 16E20 16G20 16G60 PDFBibTeX XMLCite \textit{M. Barot} and \textit{J. A. de la Peña}, Colloq. Math. 79, No. 1, 119--131 (1999; Zbl 0942.16019) Full Text: DOI EuDML
Barot, M.; de la Peña, J. A. Derived tubular strongly simply connected algebras. (English) Zbl 0940.16008 Proc. Am. Math. Soc. 127, No. 3, 647-655 (1999). Reviewer: I.Assem (Sherbrooke) MSC: 16G10 16G60 18E30 16G20 15A63 PDFBibTeX XMLCite \textit{M. Barot} and \textit{J. A. de la Peña}, Proc. Am. Math. Soc. 127, No. 3, 647--655 (1999; Zbl 0940.16008) Full Text: DOI
Barot, Michael; Lenzing, Helmut Derived canonical algebras as one-point extensions. (English) Zbl 0948.16009 Green, Edward L. (ed.) et al., Trends in the representation theory of finite dimensional algebras. Proceedings of the AMS-IMS-SIAM joint summer research conference, Seattle, WA, USA, July 20-24, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 229, 7-15 (1998). Reviewer: O.Kerner (Düsseldorf) MSC: 16G20 18E30 16G60 16E30 PDFBibTeX XMLCite \textit{M. Barot} and \textit{H. Lenzing}, Contemp. Math. 229, 7--15 (1998; Zbl 0948.16009)