Hanson, Eric J.; Thomas, Hugh A uniqueness property of \(\tau\)-exceptional sequences. (English) Zbl 07815063 Algebr. Represent. Theory 27, No. 1, 461-468 (2024). MSC: 16G20 16G10 PDFBibTeX XMLCite \textit{E. J. Hanson} and \textit{H. Thomas}, Algebr. Represent. Theory 27, No. 1, 461--468 (2024; Zbl 07815063) Full Text: DOI arXiv
Bazier-Matte, Véronique; Chapelier-Laget, Nathan; Douville, Guillaume; Mousavand, Kaveh; Thomas, Hugh; Yildirim, Emine ABHY associahedra and Newton polytopes of \(F\)-polynomials for cluster algebras of simply laced finite type. (English) Zbl 07808990 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12817, 27 p. (2024). MSC: 13F60 16G20 PDFBibTeX XMLCite \textit{V. Bazier-Matte} et al., J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12817, 27 p. (2024; Zbl 07808990) Full Text: DOI arXiv OA License
Garver, Alexander; Patrias, Rebecca; Thomas, Hugh Minuscule reverse plane partitions via quiver representations. (English) Zbl 07691726 Sel. Math., New Ser. 29, No. 3, Paper No. 37, 48 p. (2023). MSC: 16G20 05E10 PDFBibTeX XMLCite \textit{A. Garver} et al., Sel. Math., New Ser. 29, No. 3, Paper No. 37, 48 p. (2023; Zbl 07691726) Full Text: DOI arXiv
Dequêne, Benjamin; Lapointe, Mélodie; Palu, Yann; Plamondon, Pierre-Guy; Reutenauer, Christophe; Thomas, Hugh A generalization of perfectly clustering words and band bricks for certain gentle algebras. arXiv:2301.07222 Preprint, arXiv:2301.07222 [math.RT] (2023). MSC: 16G20 68R15 BibTeX Cite \textit{B. Dequêne} et al., ``A generalization of perfectly clustering words and band bricks for certain gentle algebras'', Preprint, arXiv:2301.07222 [math.RT] (2023) Full Text: arXiv OA License
Thomas, Hugh An introduction to the lattice of torsion classes. (English) Zbl 1485.16010 Bull. Iran. Math. Soc. 47, Suppl. 1, 35-55 (2021). MSC: 16G10 16G20 16S90 06B99 PDFBibTeX XMLCite \textit{H. Thomas}, Bull. Iran. Math. Soc. 47, 35--55 (2021; Zbl 1485.16010) Full Text: DOI arXiv
Brüstle, Thomas; Douville, Guillaume; Mousavand, Kaveh; Thomas, Hugh; Yıldırım, Emine On the combinatorics of gentle algebras. (English) Zbl 1456.16007 Can. J. Math. 72, No. 6, 1551-1580 (2020). MSC: 16G20 PDFBibTeX XMLCite \textit{T. Brüstle} et al., Can. J. Math. 72, No. 6, 1551--1580 (2020; Zbl 1456.16007) Full Text: DOI arXiv
Mizuno, Yuya; Thomas, Hugh Torsion pairs for quivers and the Weyl groups. (English) Zbl 1465.16012 Sel. Math., New Ser. 26, No. 3, Paper No. 46, 27 p. (2020). MSC: 16G10 16G20 20F55 PDFBibTeX XMLCite \textit{Y. Mizuno} and \textit{H. Thomas}, Sel. Math., New Ser. 26, No. 3, Paper No. 46, 27 p. (2020; Zbl 1465.16012) Full Text: DOI arXiv
Thomas, Hugh Ross Coxeter groups and quiver representations. (English) Zbl 1422.16012 Martsinkovsky, Alex (ed.) et al., Surveys in representation theory of algebras. Maurice Auslander distinguished lectures and international conference, Woods Hole Oceanographic Institute, Woods Hole, MA, USA, April 26 – May 1, 2017, April 29 – May 4, 2015, April 18–23, 2013. Selected lectures. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 716, 173-186 (2018). MSC: 16G20 20F55 PDFBibTeX XMLCite \textit{H. R. Thomas}, Contemp. Math. 716, 173--186 (2018; Zbl 1422.16012) Full Text: DOI arXiv
Thomas, Hugh Stability, shards, and preprojective algebras. (English) Zbl 1416.16016 Leuschke, Graham J. (ed.) et al., Representations of algebras. 17th workshop and international conference on representations of algebras (ICRA 2016), Syracuse University, Syracuse, NY, USA, August 10–19, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 705, 251-262 (2018). MSC: 16G20 05E10 20F55 52C35 PDFBibTeX XMLCite \textit{H. Thomas}, Contemp. Math. 705, 251--262 (2018; Zbl 1416.16016) Full Text: DOI arXiv
Iyama, Osamu; Reiten, Idun; Thomas, Hugh; Todorov, Gordana Lattice structure of torsion classes for path algebras. (English) Zbl 1397.16011 Bull. Lond. Math. Soc. 47, No. 4, 639-650 (2015). MSC: 16G20 18E40 05E10 PDFBibTeX XMLCite \textit{O. Iyama} et al., Bull. Lond. Math. Soc. 47, No. 4, 639--650 (2015; Zbl 1397.16011) Full Text: DOI arXiv Link
Oppermann, Steffen; Reiten, Idun; Thomas, Hugh Quotient closed subcategories of quiver representations. (English) Zbl 1366.16010 Compos. Math. 151, No. 3, 568-602 (2015). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 16G20 16G70 05E10 PDFBibTeX XMLCite \textit{S. Oppermann} et al., Compos. Math. 151, No. 3, 568--602 (2015; Zbl 1366.16010) Full Text: DOI arXiv
Ingalls, Colin; Paquette, Charles; Thomas, Hugh Semi-stable subcategories for Euclidean quivers. (English) Zbl 1378.16026 Proc. Lond. Math. Soc. (3) 110, No. 4, 805-840 (2015). Reviewer: Ana Garcia Elsener (Graz) MSC: 16G20 PDFBibTeX XMLCite \textit{C. Ingalls} et al., Proc. Lond. Math. Soc. (3) 110, No. 4, 805--840 (2015; Zbl 1378.16026) Full Text: DOI arXiv
Dupont, Grégoire; Thomas, Hugh Atomic bases of cluster algebras of types \(A\) and \(\tilde A\). (English) Zbl 1283.13019 Proc. Lond. Math. Soc. (3) 107, No. 4, 825-850 (2013). Reviewer: Xueqing Chen (Whitewater) MSC: 13F60 16G20 PDFBibTeX XMLCite \textit{G. Dupont} and \textit{H. Thomas}, Proc. Lond. Math. Soc. (3) 107, No. 4, 825--850 (2013; Zbl 1283.13019) Full Text: DOI arXiv
Thomas, Hugh The Tamari lattice as it arises in quiver representations. (English) Zbl 1264.16018 Müller-Hoissen, Folkert (ed.) et al., Associahedra, Tamari lattices and related structures. Tamari memorial Festschrift. Basel: Birkhäuser (ISBN 978-3-0348-0404-2/hbk; 978-3-0348-0405-9/ebook). Progress in Mathematics 299, 281-291 (2012). MSC: 16G20 06A07 05E10 PDFBibTeX XMLCite \textit{H. Thomas}, Prog. Math. 299, 281--291 (2012; Zbl 1264.16018) Full Text: DOI arXiv
Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences. (English) Zbl 1246.05171 Math. Z. 271, No. 3-4, 1117-1139 (2012). MSC: 05E15 20F55 16G20 PDFBibTeX XMLCite \textit{A. B. Buan} et al., Math. Z. 271, No. 3--4, 1117--1139 (2012; Zbl 1246.05171) Full Text: DOI arXiv
Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh Three kinds of mutation. (English) Zbl 1247.16008 J. Algebra 339, No. 1, 97-113 (2011). Reviewer: Xueqing Chen (Whitewater) MSC: 16G10 16E30 16G20 16E35 18E30 13F60 PDFBibTeX XMLCite \textit{A. B. Buan} et al., J. Algebra 339, No. 1, 97--113 (2011; Zbl 1247.16008) Full Text: DOI arXiv Link
Igusa, Kiyoshi; Schiffler, Ralf [Thomas, Hugh] Exceptional sequences and clusters. (With an appendix with Hugh Thomas). (English) Zbl 1239.16019 J. Algebra 323, No. 8, 2183-2202 (2010). MSC: 16G20 20F55 13F60 16G60 20F36 PDFBibTeX XMLCite \textit{K. Igusa} and \textit{R. Schiffler}, J. Algebra 323, No. 8, 2183--2202 (2010; Zbl 1239.16019) Full Text: DOI arXiv
Ingalls, Colin; Thomas, Hugh Noncrossing partitions and representations of quivers. (English) Zbl 1182.16012 Compos. Math. 145, No. 6, 1533-1562 (2009). MSC: 16G20 05E15 20F55 PDFBibTeX XMLCite \textit{C. Ingalls} and \textit{H. Thomas}, Compos. Math. 145, No. 6, 1533--1562 (2009; Zbl 1182.16012) Full Text: DOI arXiv
Buan, Aslak Bakke; Thomas, Hugh Coloured quiver mutation for higher cluster categories. (English) Zbl 1182.16010 Adv. Math. 222, No. 3, 971-995 (2009). Reviewer: Wolfgang Rump (Stuttgart) MSC: 16G20 18E30 05C25 16E30 PDFBibTeX XMLCite \textit{A. B. Buan} and \textit{H. Thomas}, Adv. Math. 222, No. 3, 971--995 (2009; Zbl 1182.16010) Full Text: DOI arXiv
Schiffler, Ralf; Thomas, Hugh On cluster algebras arising from unpunctured surfaces. (English) Zbl 1171.30019 Int. Math. Res. Not. 2009, No. 17, 3160-3189 (2009). MSC: 30F60 30D40 13F60 16G20 PDFBibTeX XMLCite \textit{R. Schiffler} and \textit{H. Thomas}, Int. Math. Res. Not. 2009, No. 17, 3160--3189 (2009; Zbl 1171.30019) Full Text: DOI arXiv
Thomas, Hugh Defining an \(m\)-cluster category. (English) Zbl 1155.16016 J. Algebra 318, No. 1, 37-46 (2007). Reviewer: Robert Marsh (Leeds) MSC: 16G20 16G70 16E30 16S99 PDFBibTeX XMLCite \textit{H. Thomas}, J. Algebra 318, No. 1, 37--46 (2007; Zbl 1155.16016) Full Text: DOI arXiv