Demonet, Laurent; Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh Lattice theory of torsion classes: beyond \(\tau\)-tilting theory. (English) Zbl 07687335 Trans. Am. Math. Soc., Ser. B 10, 542-612 (2023). Reviewer: Shengyong Pan (Beijing) MSC: 16G10 06A07 20F55 PDFBibTeX XMLCite \textit{L. Demonet} et al., Trans. Am. Math. Soc., Ser. B 10, 542--612 (2023; Zbl 07687335) Full Text: DOI arXiv
Reading, Nathan; Speyer, David E.; Thomas, Hugh The fundamental theorem of finite semidistributive lattices. (English) Zbl 1485.06003 Sel. Math., New Ser. 27, No. 4, Paper No. 59, 53 p. (2021). Reviewer: Ivan Chajda (Přerov) MSC: 06B05 06A15 06B15 06D75 PDFBibTeX XMLCite \textit{N. Reading} et al., Sel. Math., New Ser. 27, No. 4, Paper No. 59, 53 p. (2021; Zbl 1485.06003) Full Text: DOI arXiv
Reading, Nathan Lattice homomorphisms between weak orders. (English) Zbl 1515.20203 Electron. J. Comb. 26, No. 2, Research Paper P2.23, 50 p. (2019). MSC: 20F55 06B10 PDFBibTeX XMLCite \textit{N. Reading}, Electron. J. Comb. 26, No. 2, Research Paper P2.23, 50 p. (2019; Zbl 1515.20203) Full Text: arXiv Link
Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh Lattice structure of Weyl groups via representation theory of preprojective algebras. (English) Zbl 1443.16016 Compos. Math. 154, No. 6, 1269-1305 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16G10 05E10 06B10 18E40 20F55 PDFBibTeX XMLCite \textit{O. Iyama} et al., Compos. Math. 154, No. 6, 1269--1305 (2018; Zbl 1443.16016) Full Text: DOI arXiv
Reading, N. Finite Coxeter groups and the weak order. (English) Zbl 1388.20056 Grätzer, George (ed.) et al., Lattice theory: special topics and applications. Volume 2. Basel: Birkhäuser/Springer (ISBN 978-3-319-44235-8/pbk; 978-3-319-44236-5/ebook). 489-561 (2016). MSC: 20F55 06F15 06A05 52C35 PDFBibTeX XMLCite \textit{N. Reading}, in: Lattice theory: special topics and applications. Volume 2. Basel: Birkhäuser/Springer. 489--561 (2016; Zbl 1388.20056) Full Text: DOI
Reading, N. Lattice theory of the poset of regions. (English) Zbl 1404.06004 Grätzer, George (ed.) et al., Lattice theory: special topics and applications. Volume 2. Basel: Birkhäuser/Springer (ISBN 978-3-319-44235-8/pbk; 978-3-319-44236-5/ebook). 399-487 (2016). MSC: 06A07 52C35 06B10 PDFBibTeX XMLCite \textit{N. Reading}, in: Lattice theory: special topics and applications. Volume 2. Basel: Birkhäuser/Springer. 399--487 (2016; Zbl 1404.06004) Full Text: DOI
Reading, Nathan Noncrossing arc diagrams and canonical join representations. (English) Zbl 1314.05015 SIAM J. Discrete Math. 29, No. 2, 736-750 (2015). MSC: 05A15 05A05 06B10 05E15 20B30 PDFBibTeX XMLCite \textit{N. Reading}, SIAM J. Discrete Math. 29, No. 2, 736--750 (2015; Zbl 1314.05015) Full Text: DOI arXiv
Reading, Nathan From the Tamari lattice to Cambrian lattices and beyond. (English) Zbl 1292.20044 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, 293-322 (2012). MSC: 20F55 06A07 05E15 06B10 52C35 PDFBibTeX XMLCite \textit{N. Reading}, Prog. Math. 299, 293--322 (2012; Zbl 1292.20044) Full Text: DOI arXiv
Reading, Nathan; Speyer, David E. Sortable elements for quivers with cycles. (English) Zbl 1215.20039 Electron. J. Comb. 17, No. 1, Research Paper R90, 19 p. (2010). MSC: 20F55 05E15 06A07 13F60 PDFBibTeX XMLCite \textit{N. Reading} and \textit{D. E. Speyer}, Electron. J. Comb. 17, No. 1, Research Paper R90, 19 p. (2010; Zbl 1215.20039) Full Text: arXiv EuDML EMIS
Reading, Nathan Noncrossing partitions and the shard intersection order. (English) Zbl 1391.05283 Krattenthaler, Christian (ed.) et al., Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20–24, 2009. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 745-756 (2009). MSC: 05E45 05A18 06A07 20F55 PDFBibTeX XMLCite \textit{N. Reading}, in: Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20--24, 2009. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 745--756 (2009; Zbl 1391.05283) Full Text: Link Backlinks: MO
Reading, Nathan; Speyer, David E. Cambrian fans. (English) Zbl 1213.20038 J. Eur. Math. Soc. (JEMS) 11, No. 2, 407-447 (2009). MSC: 20F55 13F60 05E15 06A07 52C35 PDFBibTeX XMLCite \textit{N. Reading} and \textit{D. E. Speyer}, J. Eur. Math. Soc. (JEMS) 11, No. 2, 407--447 (2009; Zbl 1213.20038) Full Text: DOI arXiv Link
Reading, Nathan Sortable elements and Cambrian lattices. (English) Zbl 1184.20038 Algebra Univers. 56, No. 3-4, 411-437 (2007). MSC: 20F55 06A07 06B10 05E15 PDFBibTeX XMLCite \textit{N. Reading}, Algebra Univers. 56, No. 3--4, 411--437 (2007; Zbl 1184.20038) Full Text: DOI arXiv
Reading, Nathan Cambrian lattices. (English) Zbl 1106.20033 Adv. Math. 205, No. 2, 313-353 (2006). Reviewer: Chen Chengdong (Shanghai) MSC: 20F55 06A07 52C35 05E15 PDFBibTeX XMLCite \textit{N. Reading}, Adv. Math. 205, No. 2, 313--353 (2006; Zbl 1106.20033) Full Text: DOI arXiv
Reading, Nathan Lattice congruences, fans and Hopf algebras. (English) Zbl 1133.20027 J. Comb. Theory, Ser. A 110, No. 2, 237-273 (2005). MSC: 20F55 05E05 06A07 06B10 16W30 52C35 PDFBibTeX XMLCite \textit{N. Reading}, J. Comb. Theory, Ser. A 110, No. 2, 237--273 (2005; Zbl 1133.20027) Full Text: DOI arXiv
Reading, Nathan Lattice congruences of the weak order. (English) Zbl 1097.20036 Order 21, No. 4, 315-344 (2004). Reviewer: Shi Jian-yi (Shanghai) MSC: 20F55 52C35 06A07 08A30 PDFBibTeX XMLCite \textit{N. Reading}, Order 21, No. 4, 315--344 (2004; Zbl 1097.20036) Full Text: DOI arXiv
Reading, Nathan The cd-index of Bruhat intervals. (English) Zbl 1067.20050 Electron. J. Comb. 11, No. 1, Research paper R74, 25 p. (2004). MSC: 20F55 06A07 52B05 52C35 57Q45 PDFBibTeX XMLCite \textit{N. Reading}, Electron. J. Comb. 11, No. 1, Research paper R74, 25 p. (2004; Zbl 1067.20050) Full Text: arXiv EuDML EMIS
Reading, Nathan; Waugh, Debra J. The order dimension of Bruhat order on infinite Coxeter groups. (English) Zbl 1067.20051 Electron. J. Comb. 11, No. 2, Research paper R13, 26 p. (2004). MSC: 20F55 06A07 PDFBibTeX XMLCite \textit{N. Reading} and \textit{D. J. Waugh}, Electron. J. Comb. 11, No. 2, Research paper R13, 26 p. (2004; Zbl 1067.20051) Full Text: EuDML EMIS
Reading, Nathan Non-negative cd-coefficients of Gorenstein* posets. (English) Zbl 1033.06001 Discrete Math. 274, No. 1-3, 323-329 (2004). MSC: 06A07 05E99 52B05 PDFBibTeX XMLCite \textit{N. Reading}, Discrete Math. 274, No. 1--3, 323--329 (2004; Zbl 1033.06001) Full Text: DOI
Reading, Nathan Lattice and order properties of the poset of regions in a hyperplane arrangement. (English) Zbl 1092.06006 Algebra Univers. 50, No. 2, 179-205 (2003). Reviewer: Radomír Halaš (Olomouc) MSC: 06A07 20F55 52C35 PDFBibTeX XMLCite \textit{N. Reading}, Algebra Univers. 50, No. 2, 179--205 (2003; Zbl 1092.06006) Full Text: DOI Link
Reading, Nathan Order dimension, strong Bruhat order and lattice properties for posets. (English) Zbl 1007.05097 Order 19, No. 1, 73-100 (2002). MSC: 05E15 20F55 06A07 06B99 PDFBibTeX XMLCite \textit{N. Reading}, Order 19, No. 1, 73--100 (2002; Zbl 1007.05097) Full Text: DOI Backlinks: MO