Zibrowius, Marcus Dual involutions in finite Coxeter groups. (English) Zbl 07812993 Commun. Algebra 52, No. 3, 1028-1037 (2024). MSC: 20F55 PDFBibTeX XMLCite \textit{M. Zibrowius}, Commun. Algebra 52, No. 3, 1028--1037 (2024; Zbl 07812993) Full Text: DOI arXiv
French, Christopher; Zieschang, Paul-Hermann Regular actions of Coxeter hypergroups. (English) Zbl 07808407 Commun. Algebra 52, No. 2, 532-565 (2024). MSC: 51E24 20N20 43A62 PDFBibTeX XMLCite \textit{C. French} and \textit{P.-H. Zieschang}, Commun. Algebra 52, No. 2, 532--565 (2024; Zbl 07808407) Full Text: DOI
Pilkington, Annette On reflection representations of Coxeter groups over non-commutative rings. (English) Zbl 07747598 Commun. Algebra 51, No. 11, 4567-4596 (2023). Reviewer: Weijia Wang (Shanghai) MSC: 20F55 17B22 20C08 PDFBibTeX XMLCite \textit{A. Pilkington}, Commun. Algebra 51, No. 11, 4567--4596 (2023; Zbl 07747598) Full Text: DOI arXiv
Chouraqui, Fabienne On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1517.20065 Commun. Algebra 51, No. 8, 3221-3231 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20F65 20F36 16T25 PDFBibTeX XMLCite \textit{F. Chouraqui}, Commun. Algebra 51, No. 8, 3221--3231 (2023; Zbl 1517.20065) Full Text: DOI arXiv
Kim, SungSoon; Lee, Dong-il Monomial bases for the primitive complex Shephard groups of rank three. (English) Zbl 1505.20035 Commun. Algebra 50, No. 2, 889-902 (2022). MSC: 20F55 05E16 16Z10 68W30 PDFBibTeX XMLCite \textit{S. Kim} and \textit{D.-i. Lee}, Commun. Algebra 50, No. 2, 889--902 (2022; Zbl 1505.20035) Full Text: DOI
Bischof, Sebastian On commutator relations in \(2\)-spherical RGD-systems. (English) Zbl 1505.20034 Commun. Algebra 50, No. 2, 751-769 (2022). MSC: 20F55 20E42 51E24 PDFBibTeX XMLCite \textit{S. Bischof}, Commun. Algebra 50, No. 2, 751--769 (2022; Zbl 1505.20034) Full Text: DOI arXiv
delMas, Elise G.; Lewis, Joel Brewster Reflection length in the general linear and affine groups. (English) Zbl 1505.20045 Commun. Algebra 50, No. 2, 668-686 (2022). MSC: 20G15 20G40 20F55 PDFBibTeX XMLCite \textit{E. G. delMas} and \textit{J. B. Lewis}, Commun. Algebra 50, No. 2, 668--686 (2022; Zbl 1505.20045) Full Text: DOI arXiv
Kimura, Yuta; Mizuno, Yuya Two-term tilting complexes for preprojective algebras of non-Dynkin type. (English) Zbl 1517.16009 Commun. Algebra 50, No. 2, 556-570 (2022). MSC: 16G10 16G20 13F60 20F55 PDFBibTeX XMLCite \textit{Y. Kimura} and \textit{Y. Mizuno}, Commun. Algebra 50, No. 2, 556--570 (2022; Zbl 1517.16009) Full Text: DOI arXiv
Azam, Saeid; Soltani, Mohammad Bagher; Tomie, Masaya; Yoshii, Yoji Characterization and enumeration of reflectable bases of types \(E_{6,7,8}\). (English) Zbl 1515.17036 Commun. Algebra 50, No. 6, 2694-2718 (2022). Reviewer: Takao Imai (Chiba) MSC: 17B67 20F55 PDFBibTeX XMLCite \textit{S. Azam} et al., Commun. Algebra 50, No. 6, 2694--2718 (2022; Zbl 1515.17036) Full Text: DOI
Lübeck, Frank Orbits of \(Z \circ (2.O_8^+(2).2)\) in dimension 8. (English) Zbl 07488681 Commun. Algebra 50, No. 4, 1568-1571 (2022). MSC: 20C20 20C40 20F55 PDFBibTeX XMLCite \textit{F. Lübeck}, Commun. Algebra 50, No. 4, 1568--1571 (2022; Zbl 07488681) Full Text: DOI arXiv
Webster, Isobel Presentations of groups with even length relations. (English) Zbl 1505.20030 Commun. Algebra 50, No. 1, 182-189 (2022). MSC: 20F05 20D60 20F55 13F60 PDFBibTeX XMLCite \textit{I. Webster}, Commun. Algebra 50, No. 1, 182--189 (2022; Zbl 1505.20030) Full Text: DOI arXiv
Enomoto, Haruhisa Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras. (English) Zbl 07332678 Commun. Algebra 49, No. 5, 2156-2189 (2021). MSC: 20F55 16G10 16G20 17B22 18E40 PDFBibTeX XMLCite \textit{H. Enomoto}, Commun. Algebra 49, No. 5, 2156--2189 (2021; Zbl 07332678) Full Text: DOI arXiv
Townsend, Kane Douglas Classification of Sylow classes of parabolic and reflection subgroups in unitary reflection groups. (English) Zbl 1485.20101 Commun. Algebra 48, No. 9, 3989-4001 (2020). MSC: 20F55 20D20 20C33 20E07 PDFBibTeX XMLCite \textit{K. D. Townsend}, Commun. Algebra 48, No. 9, 3989--4001 (2020; Zbl 1485.20101) Full Text: DOI arXiv
Hart, Sarah; Sbeiti Clarke, Amal Commuting involution graphs in classical affine Weyl groups. (English) Zbl 1485.20099 Commun. Algebra 48, No. 7, 2941-2957 (2020). MSC: 20F55 05C25 05E18 PDFBibTeX XMLCite \textit{S. Hart} and \textit{A. Sbeiti Clarke}, Commun. Algebra 48, No. 7, 2941--2957 (2020; Zbl 1485.20099) Full Text: DOI arXiv
Collins, J. B.; Haas, Ruth; Helminck, Aloysius G.; Lenarz, Jessie; Pelatt, Kristine Engel; Saccon, Silvia; Welz, Matthew Extended symmetric spaces and \(\theta\)-twisted involution graphs. (English) Zbl 1441.05242 Commun. Algebra 48, No. 6, 2293-2306 (2020). MSC: 05E16 05C25 20F55 06A07 PDFBibTeX XMLCite \textit{J. B. Collins} et al., Commun. Algebra 48, No. 6, 2293--2306 (2020; Zbl 1441.05242) Full Text: DOI
Hohlweg, Christophe; Préaux, Jean-Philippe; Ripoll, Vivien On the limit set of root systems of Coxeter groups acting on Lorentzian spaces. (English) Zbl 1479.20029 Commun. Algebra 48, No. 3, 1281-1304 (2020). MSC: 20F55 51F15 17B22 30F40 PDFBibTeX XMLCite \textit{C. Hohlweg} et al., Commun. Algebra 48, No. 3, 1281--1304 (2020; Zbl 1479.20029) Full Text: DOI arXiv
Cuntz, M.; Mühlherr, B.; Weigel, C. J. On the Tits cone of a Weyl groupoid. (English) Zbl 1468.20072 Commun. Algebra 47, No. 12, 5261-5285 (2019). MSC: 20F55 17B22 52C35 PDFBibTeX XMLCite \textit{M. Cuntz} et al., Commun. Algebra 47, No. 12, 5261--5285 (2019; Zbl 1468.20072) Full Text: DOI arXiv
Hart, Sarah; Sbeiti Clarke, Amal Commuting involution graphs for \(\tilde{C}_n\). (English) Zbl 1473.20044 Commun. Algebra 46, No. 9, 3965-3985 (2018). MSC: 20F55 05C25 20D60 PDFBibTeX XMLCite \textit{S. Hart} and \textit{A. Sbeiti Clarke}, Commun. Algebra 46, No. 9, 3965--3985 (2018; Zbl 1473.20044) Full Text: DOI arXiv Link
Chen, Hou-Yi Involutive automorphism of symmetric groups. (English) Zbl 1392.20002 Commun. Algebra 46, No. 6, 2693-2695 (2018). MSC: 20B30 20B35 05E10 PDFBibTeX XMLCite \textit{H.-Y. Chen}, Commun. Algebra 46, No. 6, 2693--2695 (2018; Zbl 1392.20002) Full Text: DOI
Moody, Robert V.; Morita, Jun Discretization of \(\mathrm{SU}(2)\) and the orthogonal group using icosahedral symmetries and the golden numbers. (English) Zbl 1499.20097 Commun. Algebra 46, No. 6, 2510-2533 (2018). MSC: 20F55 17B22 49M25 51F25 PDFBibTeX XMLCite \textit{R. V. Moody} and \textit{J. Morita}, Commun. Algebra 46, No. 6, 2510--2533 (2018; Zbl 1499.20097) Full Text: DOI arXiv
Shi, Jian-yi; Zhang, Xi-gou Some left cells in the affine Weyl group \(\overset \sim E_6\). (English) Zbl 1439.20040 Commun. Algebra 46, No. 5, 2033-2053 (2018). MSC: 20F55 PDFBibTeX XMLCite \textit{J.-y. Shi} and \textit{X.-g. Zhang}, Commun. Algebra 46, No. 5, 2033--2053 (2018; Zbl 1439.20040) Full Text: DOI
Geneste, Olivier; Paris, Luis Coxeter groups, symmetries, and rooted representations. (English) Zbl 1401.20040 Commun. Algebra 46, No. 5, 1996-2002 (2018). MSC: 20F55 20C15 PDFBibTeX XMLCite \textit{O. Geneste} and \textit{L. Paris}, Commun. Algebra 46, No. 5, 1996--2002 (2018; Zbl 1401.20040) Full Text: DOI arXiv
Fan, Neil J. Y.; Guo, Alan J. X. On 1234-nesting Kazhdan-Lusztig \(R\)-polynomials for the symmetric group. (English) Zbl 1387.05011 Commun. Algebra 46, No. 2, 644-652 (2018). MSC: 05A15 05E15 20F55 20C30 PDFBibTeX XMLCite \textit{N. J. Y. Fan} and \textit{A. J. X. Guo}, Commun. Algebra 46, No. 2, 644--652 (2018; Zbl 1387.05011) Full Text: DOI
Laugwitz, Robert On Fomin-Kirillov algebras for complex reflection groups. (English) Zbl 1428.16031 Commun. Algebra 45, No. 8, 3653-3666 (2017). MSC: 16T05 20F55 PDFBibTeX XMLCite \textit{R. Laugwitz}, Commun. Algebra 45, No. 8, 3653--3666 (2017; Zbl 1428.16031) Full Text: DOI arXiv
Hartwig, Jonas T. The \(q\)-difference Noether problem for complex reflection groups and quantum OGZ algebras. (English) Zbl 1420.16028 Commun. Algebra 45, No. 3, 1166-1176 (2017). MSC: 16W22 16K40 16S85 17B37 20F55 PDFBibTeX XMLCite \textit{J. T. Hartwig}, Commun. Algebra 45, No. 3, 1166--1176 (2017; Zbl 1420.16028) Full Text: DOI arXiv
Liu, Shoumin Mühlherr’s partitions for Brauer algebras of type \(H_3\) and \(H_4\). (English) Zbl 1376.16027 Commun. Algebra 44, No. 12, 5287-5298 (2016). MSC: 16S99 05E10 20C08 20F55 PDFBibTeX XMLCite \textit{S. Liu}, Commun. Algebra 44, No. 12, 5287--5298 (2016; Zbl 1376.16027) Full Text: DOI
Hamm, Jessica Multiplicative invariants of root lattices. (English) Zbl 1360.13018 Commun. Algebra 44, No. 8, 3454-3484 (2016). Reviewer: Hu Jun (Beijing) MSC: 13A50 17B22 20F55 PDFBibTeX XMLCite \textit{J. Hamm}, Commun. Algebra 44, No. 8, 3454--3484 (2016; Zbl 1360.13018) Full Text: DOI arXiv Link
Humphries, Stephen P.; Nguyen, Long Weak Cayley table groups. II: Alternating groups and finite Coxeter groups. (English) Zbl 1330.20008 Commun. Algebra 43, No. 11, 4763-4782 (2015). MSC: 20C15 20E36 20E45 20F05 20F55 PDFBibTeX XMLCite \textit{S. P. Humphries} and \textit{L. Nguyen}, Commun. Algebra 43, No. 11, 4763--4782 (2015; Zbl 1330.20008) Full Text: DOI
Mi, Qian-qian; Shi, Jian-yi Left cells of the weighted Coxeter group \((\widetilde B_n,\widetilde\ell)\). (English) Zbl 1331.20051 Commun. Algebra 43, No. 4, 1487-1508 (2015). Reviewer: Hu Jun (Beijing) MSC: 20F55 20G05 PDFBibTeX XMLCite \textit{Q.-q. Mi} and \textit{J.-y. Shi}, Commun. Algebra 43, No. 4, 1487--1508 (2015; Zbl 1331.20051) Full Text: DOI
Suyama, Daisuke A basis construction for the shi arrangement of the type \(B_{\ell}\) or \(C_{\ell}\). (English) Zbl 1315.32006 Commun. Algebra 43, No. 4, 1435-1448 (2015). MSC: 32S22 20F55 PDFBibTeX XMLCite \textit{D. Suyama}, Commun. Algebra 43, No. 4, 1435--1448 (2015; Zbl 1315.32006) Full Text: DOI arXiv
Foster-Greenwood, Briana Comparing codimension and absolute length in complex reflection groups. (English) Zbl 1314.05229 Commun. Algebra 42, No. 10, 4350-4365 (2014). Reviewer: Fatemeh Mohammadi (Marburg) MSC: 05E15 20F55 06A06 16E40 PDFBibTeX XMLCite \textit{B. Foster-Greenwood}, Commun. Algebra 42, No. 10, 4350--4365 (2014; Zbl 1314.05229) Full Text: DOI arXiv
Hagemeyer, Colin; Scott, Richard On groups with Cayley graph isomorphic to a cube. (English) Zbl 1293.20034 Commun. Algebra 42, No. 4, 1484-1495 (2014). MSC: 20F05 20F55 05C25 20C15 PDFBibTeX XMLCite \textit{C. Hagemeyer} and \textit{R. Scott}, Commun. Algebra 42, No. 4, 1484--1495 (2014; Zbl 1293.20034) Full Text: DOI arXiv
Davidson, Peter The word problem for Pride groups. (English) Zbl 1291.20031 Commun. Algebra 42, No. 4, 1448-1459 (2014). MSC: 20F05 20F10 20F65 20F36 20F06 20E06 PDFBibTeX XMLCite \textit{P. Davidson}, Commun. Algebra 42, No. 4, 1448--1459 (2014; Zbl 1291.20031) Full Text: DOI Link
Blok, Rieuwert J.; Gagola, Stephen M. III Coxeter-Chein loops. (English) Zbl 1301.20067 Commun. Algebra 42, No. 5, 2254-2268 (2014). Reviewer: Jaiyeola Temitope Gbolahan (Ile-Ife) MSC: 20N05 20F05 20E06 20F55 PDFBibTeX XMLCite \textit{R. J. Blok} and \textit{S. M. Gagola III}, Commun. Algebra 42, No. 5, 2254--2268 (2014; Zbl 1301.20067) Full Text: DOI arXiv
Pilkington, Annette On the weak order of orthogonal groups. (English) Zbl 1297.20041 Commun. Algebra 42, No. 5, 1965-1993 (2014). Reviewer: Erich W. Ellers (Toronto) MSC: 20F55 06A07 06B23 17B22 20G20 20L05 PDFBibTeX XMLCite \textit{A. Pilkington}, Commun. Algebra 42, No. 5, 1965--1993 (2014; Zbl 1297.20041) Full Text: DOI arXiv
Kannan, S. Senthamarai; Chary, B. Narasimha; Pattanayak, Santosha Kumar Torus invariants of the homogeneous coordinate ring of \(G/B\) - connection with Coxeter elements. (English) Zbl 1295.14040 Commun. Algebra 42, No. 5, 1880-1895 (2014). Reviewer: Ronan Terpereau (Mainz) MSC: 14L24 13A50 14L30 PDFBibTeX XMLCite \textit{S. S. Kannan} et al., Commun. Algebra 42, No. 5, 1880--1895 (2014; Zbl 1295.14040) Full Text: DOI
Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard On reflection subgroups of finite Coxeter groups. (English) Zbl 1282.20040 Commun. Algebra 41, No. 7, 2574-2592 (2013). Reviewer: Erich W. Ellers (Toronto) MSC: 20F55 20E07 20E45 05E15 PDFBibTeX XMLCite \textit{J. M. Douglass} et al., Commun. Algebra 41, No. 7, 2574--2592 (2013; Zbl 1282.20040) Full Text: DOI arXiv
Blair, Ryan; Ottman, Ryan A decomposition theorem for higher rank Coxeter groups. (English) Zbl 1284.20040 Commun. Algebra 41, No. 7, 2508-2518 (2013). MSC: 20F55 20F67 05E15 PDFBibTeX XMLCite \textit{R. Blair} and \textit{R. Ottman}, Commun. Algebra 41, No. 7, 2508--2518 (2013; Zbl 1284.20040) Full Text: DOI arXiv
Edgar, Tom Universal reflection subgroups and exponential growth in Coxeter groups. (English) Zbl 1282.20041 Commun. Algebra 41, No. 4, 1558-1569 (2013). Reviewer: Erich W. Ellers (Toronto) MSC: 20F55 20F05 20E07 20F65 PDFBibTeX XMLCite \textit{T. Edgar}, Commun. Algebra 41, No. 4, 1558--1569 (2013; Zbl 1282.20041) Full Text: DOI
Lux, Klaus; Schaeffer Fry, Amanda; Vinroot, C. Ryan Strong reality properties of normalizers of parabolic subgroups in finite Coxeter groups. (English) Zbl 1258.20031 Commun. Algebra 40, No. 8, 3056-3070 (2012). MSC: 20F55 20C15 PDFBibTeX XMLCite \textit{K. Lux} et al., Commun. Algebra 40, No. 8, 3056--3070 (2012; Zbl 1258.20031) Full Text: DOI
Brooksbank, Peter A.; Piggott, Adam On the derived length of Coxeter groups. (English) Zbl 1242.20048 Commun. Algebra 40, No. 3, 1142-1150 (2012). MSC: 20F55 20F14 20F05 PDFBibTeX XMLCite \textit{P. A. Brooksbank} and \textit{A. Piggott}, Commun. Algebra 40, No. 3, 1142--1150 (2012; Zbl 1242.20048) Full Text: DOI
Shahsanaei, Valiollah The structure of a presented group associated to an extended affine root system. (English) Zbl 1257.20044 Commun. Algebra 40, No. 1, 125-133 (2012). MSC: 20F55 17B22 20F05 PDFBibTeX XMLCite \textit{V. Shahsanaei}, Commun. Algebra 40, No. 1, 125--133 (2012; Zbl 1257.20044) Full Text: DOI
Wang, Dengyin; Zhao, Yanxia; Chen, Zhengxin Nonlinear maps on a Borel subalgebra preserving ad-nilpotent ideals. (English) Zbl 1225.17014 Commun. Algebra 39, No. 5, 1519-1527 (2011). Reviewer: Ye Jiachen (Shanghai) MSC: 17B20 17B05 20F55 PDFBibTeX XMLCite \textit{D. Wang} et al., Commun. Algebra 39, No. 5, 1519--1527 (2011; Zbl 1225.17014) Full Text: DOI
Donnelly, Robert G. Root systems for asymmetric geometric representations of Coxeter groups. (English) Zbl 1241.20043 Commun. Algebra 39, No. 4, 1298-1314 (2011). Reviewer: Erich W. Ellers (Toronto) MSC: 20F55 17B22 17B67 05E15 PDFBibTeX XMLCite \textit{R. G. Donnelly}, Commun. Algebra 39, No. 4, 1298--1314 (2011; Zbl 1241.20043) Full Text: DOI arXiv
Azam, Saeid; Shahsanaei, Valiollah Extended affine Weyl groups: presentation by conjugation via integral collection. (English) Zbl 1257.20041 Commun. Algebra 39, No. 2, 730-749 (2011). MSC: 20F55 17B22 20F05 PDFBibTeX XMLCite \textit{S. Azam} and \textit{V. Shahsanaei}, Commun. Algebra 39, No. 2, 730--749 (2011; Zbl 1257.20041) Full Text: DOI arXiv
Araujo, J. O.; Bigeón, J. J.; Gamondi, R. M. Modular irreducible representations of Weyl groups of type \(B_n\). (English) Zbl 1201.20006 Commun. Algebra 38, No. 7, 2464-2479 (2010). MSC: 20C30 20C20 20F55 05E10 PDFBibTeX XMLCite \textit{J. O. Araujo} et al., Commun. Algebra 38, No. 7, 2464--2479 (2010; Zbl 1201.20006) Full Text: DOI
Bonnafé, Cédric; Dyer, Matthew J. Semidirect product decomposition of Coxeter groups. (English) Zbl 1194.20041 Commun. Algebra 38, No. 4, 1549-1574 (2010). MSC: 20F55 20F05 PDFBibTeX XMLCite \textit{C. Bonnafé} and \textit{M. J. Dyer}, Commun. Algebra 38, No. 4, 1549--1574 (2010; Zbl 1194.20041) Full Text: DOI arXiv
Sun, Jie Cyclotomic Temperley-Lieb algebra of type \(D\) and its representation theory. (English) Zbl 1227.16015 Commun. Algebra 38, No. 1, 94-118 (2010). MSC: 16G30 20C08 16G60 16D60 05E10 57M25 20F55 PDFBibTeX XMLCite \textit{J. Sun}, Commun. Algebra 38, No. 1, 94--118 (2010; Zbl 1227.16015) Full Text: DOI arXiv
Yin, Yunchuan An inversion formula for \((J,\widehat J)\)-relative Kazhdan-Lusztig polynomials. (English) Zbl 1173.20003 Commun. Algebra 37, No. 8, 2907-2919 (2009). MSC: 20C08 20F55 PDFBibTeX XMLCite \textit{Y. Yin}, Commun. Algebra 37, No. 8, 2907--2919 (2009; Zbl 1173.20003) Full Text: DOI
Shi, Jian-yi; Zhang, Xi-Gou Left cells with \(a\)-value 4 in the affine Weyl groups \(\widetilde E_i\) (\(i=6,7,8\)). (English) Zbl 1173.20030 Commun. Algebra 36, No. 9, 3317-3346 (2008). MSC: 20F55 20G05 PDFBibTeX XMLCite \textit{J.-y. Shi} and \textit{X.-G. Zhang}, Commun. Algebra 36, No. 9, 3317--3346 (2008; Zbl 1173.20030) Full Text: DOI
Achar, Pramod N.; Aubert, Anne-Marie On rank 2 complex reflection groups. (English) Zbl 1270.20038 Commun. Algebra 36, No. 6, 2092-2132 (2008). MSC: 20F55 51F15 20F05 PDFBibTeX XMLCite \textit{P. N. Achar} and \textit{A.-M. Aubert}, Commun. Algebra 36, No. 6, 2092--2132 (2008; Zbl 1270.20038) Full Text: DOI
Mak, Chi Kin A reducibility theorem of \(G(m,1,r)\) and its application to trace functions on Ariki-Koike algebras. (English) Zbl 1152.20036 Commun. Algebra 36, No. 3, 973-991 (2008). MSC: 20F55 20C08 PDFBibTeX XMLCite \textit{C. K. Mak}, Commun. Algebra 36, No. 3, 973--991 (2008; Zbl 1152.20036) Full Text: DOI
Viswanath, Sankaran On growth types of quotients of Coxeter groups by parabolic subgroups. (English) Zbl 1176.20044 Commun. Algebra 36, No. 2, 796-805 (2008). MSC: 20F55 20F05 05E15 PDFBibTeX XMLCite \textit{S. Viswanath}, Commun. Algebra 36, No. 2, 796--805 (2008; Zbl 1176.20044) Full Text: DOI arXiv
Edjvet, Martin; Jeong, Kwang-Woo On the derived series of Coxeter groups. (English) Zbl 1134.20043 Commun. Algebra 35, No. 12, 3937-3947 (2007). MSC: 20F55 20F14 20F05 PDFBibTeX XMLCite \textit{M. Edjvet} and \textit{K.-W. Jeong}, Commun. Algebra 35, No. 12, 3937--3947 (2007; Zbl 1134.20043) Full Text: DOI
Mokler, Claus The maximal chains of the extended Bruhat orders on the \(\mathcal W\times\mathcal W\)-orbits of an infinite Renner monoid. (English) Zbl 1131.20028 Commun. Algebra 35, No. 7, 2298-2323 (2007). Reviewer: Huang Wenxue (Scarborough) MSC: 20F55 06A07 20G15 20M20 22E65 PDFBibTeX XMLCite \textit{C. Mokler}, Commun. Algebra 35, No. 7, 2298--2323 (2007; Zbl 1131.20028) Full Text: DOI arXiv
Cheng, Jian-Jun The images of restriction maps and Dirac cohomology. (English) Zbl 1133.17006 Commun. Algebra 35, No. 2, 651-674 (2007). Reviewer: Uberto Cattaneo (Maggia) MSC: 17B20 15A72 20F55 17B56 PDFBibTeX XMLCite \textit{J.-J. Cheng}, Commun. Algebra 35, No. 2, 651--674 (2007; Zbl 1133.17006) Full Text: DOI
Pilkington, Annette Convex geometries on root systems. (English) Zbl 1103.52001 Commun. Algebra 34, No. 9, 3183-3202 (2006). Reviewer: Chen Chengdong (Shanghai) MSC: 52A01 17B20 20F55 06A15 PDFBibTeX XMLCite \textit{A. Pilkington}, Commun. Algebra 34, No. 9, 3183--3202 (2006; Zbl 1103.52001) Full Text: DOI
Nuida, Koji On the direct indecomposability of infinite irreducible Coxeter groups and the isomorphism problem of Coxeter groups. (English) Zbl 1104.20038 Commun. Algebra 34, No. 7, 2559-2595 (2006). Reviewer: Chen Chengdong (Shanghai) MSC: 20F55 20F10 20F28 20E34 PDFBibTeX XMLCite \textit{K. Nuida}, Commun. Algebra 34, No. 7, 2559--2595 (2006; Zbl 1104.20038) Full Text: DOI arXiv
Dezélée, Charlotte Generalized graded Hecke algebras of types \(B\) and \(D\). (English) Zbl 1105.20002 Commun. Algebra 34, No. 6, 2105-2128 (2006). Reviewer: Hu Jun (Beijing) MSC: 20C08 17B10 20F55 16S35 33D80 PDFBibTeX XMLCite \textit{C. Dezélée}, Commun. Algebra 34, No. 6, 2105--2128 (2006; Zbl 1105.20002) Full Text: DOI
Yin, Yunchuan Irreducible \(W\)-graphs for type \(D_4\) and \(D_5\). (English) Zbl 1100.20011 Commun. Algebra 34, No. 2, 547-565 (2006). Reviewer: Hu Jun (Beijing) MSC: 20C08 20F55 PDFBibTeX XMLCite \textit{Y. Yin}, Commun. Algebra 34, No. 2, 547--565 (2006; Zbl 1100.20011) Full Text: DOI
Pagliacci, Michela A simple product formula for certain Kazhdan-Lusztig \(R\)-polynomials. (English) Zbl 1087.05064 Commun. Algebra 34, No. 2, 407-414 (2006). MSC: 05E15 20F55 PDFBibTeX XMLCite \textit{M. Pagliacci}, Commun. Algebra 34, No. 2, 407--414 (2006; Zbl 1087.05064) Full Text: DOI
Williams, Gerald The Tits alternative for groups defined by periodic paired relations. (English) Zbl 1090.20021 Commun. Algebra 34, No. 1, 251-258 (2006). Reviewer: Gerhard Rosenberger (Dortmund) MSC: 20F05 20F55 20H10 20E07 PDFBibTeX XMLCite \textit{G. Williams}, Commun. Algebra 34, No. 1, 251--258 (2006; Zbl 1090.20021) Full Text: DOI Link
Amram, Meirav; Teicher, Mina; Vishne, Uzi The Coxeter quotient of the fundamental group of a Galois cover of \(\mathbb T \times \mathbb T\). (English) Zbl 1086.14014 Commun. Algebra 34, No. 1, 89-106 (2006). MSC: 14F35 14J25 20F34 20F55 PDFBibTeX XMLCite \textit{M. Amram} et al., Commun. Algebra 34, No. 1, 89--106 (2006; Zbl 1086.14014) Full Text: DOI arXiv
Marin, Ivan Generalized Jucys-Murphy elements. (Éléments de Jucys-Murphy généralisés.) (French) Zbl 1083.20005 Commun. Algebra 33, No. 9, 2879-2898 (2005). MSC: 20C15 20F55 PDFBibTeX XMLCite \textit{I. Marin}, Commun. Algebra 33, No. 9, 2879--2898 (2005; Zbl 1083.20005) Full Text: DOI
Shi, Jian-yi Simple root systems and presentations for certain complex reflection groups. (English) Zbl 1077.20056 Commun. Algebra 33, No. 6, 1765-1783 (2005). Reviewer: Chen Chengdong (Shanghai) MSC: 20F55 20F05 PDFBibTeX XMLCite \textit{J.-y. Shi}, Commun. Algebra 33, No. 6, 1765--1783 (2005; Zbl 1077.20056) Full Text: DOI
Jedlička, Přemysl A combinatorial construction of the weak order of a Coxeter group. (English) Zbl 1079.20058 Commun. Algebra 33, No. 5, 1447-1460 (2005). MSC: 20F55 06A12 05E15 PDFBibTeX XMLCite \textit{P. Jedlička}, Commun. Algebra 33, No. 5, 1447--1460 (2005; Zbl 1079.20058) Full Text: DOI
Morris, Alun O. Projective representations of finite reflection groups. III. (English) Zbl 1069.20010 Commun. Algebra 32, No. 7, 2679-2694 (2004). MSC: 20C25 20F55 PDFBibTeX XMLCite \textit{A. O. Morris}, Commun. Algebra 32, No. 7, 2679--2694 (2004; Zbl 1069.20010) Full Text: DOI
Mushtaq, Q.; Ashiq, M.; Maqsood, T.; Aslam, M. The Coxeter group \(G^{5,5,24}\). (English) Zbl 1034.20034 Commun. Algebra 30, No. 5, 2175-2182 (2002). MSC: 20F55 20F05 20E26 PDFBibTeX XMLCite \textit{Q. Mushtaq} et al., Commun. Algebra 30, No. 5, 2175--2182 (2002; Zbl 1034.20034) Full Text: DOI
Perkins, Sarah B.; Rowley, Peter J. Minimal and maximal length involutions in finite Coxeter groups. (English) Zbl 1055.20034 Commun. Algebra 30, No. 3, 1273-1292 (2002). MSC: 20F55 20E45 20F05 PDFBibTeX XMLCite \textit{S. B. Perkins} and \textit{P. J. Rowley}, Commun. Algebra 30, No. 3, 1273--1292 (2002; Zbl 1055.20034) Full Text: DOI
Bokut’, L. A.; Shiao, L.-S. Gröbner-Shirshov bases for Coxeter groups. (English) Zbl 1065.17006 Commun. Algebra 29, No. 9, 4305-4319 (2001). MSC: 17B20 16S15 20F55 PDFBibTeX XMLCite \textit{L. A. Bokut'} and \textit{L. S. Shiao}, Commun. Algebra 29, No. 9, 4305--4319 (2001; Zbl 1065.17006) Full Text: DOI
Francis, Andrew The Brauer homomorphism and the minimal basis for centers of Iwahori-Hecke algebras of type \(A\). (English) Zbl 1037.20002 Commun. Algebra 29, No. 1, 85-97 (2001). Reviewer: Steffen König (Leicester) MSC: 20C08 20F55 PDFBibTeX XMLCite \textit{A. Francis}, Commun. Algebra 29, No. 1, 85--97 (2001; Zbl 1037.20002) Full Text: DOI
Chen, Chengdong The left cells of the affine Weyl group of type \(\widetilde D_5\). (English) Zbl 0990.20023 Commun. Algebra 29, No. 1, 11-30 (2001). Reviewer: Shi Jianyi (Shanghai) MSC: 20F55 PDFBibTeX XMLCite \textit{C. Chen}, Commun. Algebra 29, No. 1, 11--30 (2001; Zbl 0990.20023) Full Text: DOI
Picantin, Matthieu The conjugacy problem in small Gaussian groups. (English) Zbl 0988.20024 Commun. Algebra 29, No. 3, 1021-1039 (2001). Reviewer: Luis Paris (Dijon) MSC: 20F36 20F10 20F05 20F55 PDFBibTeX XMLCite \textit{M. Picantin}, Commun. Algebra 29, No. 3, 1021--1039 (2001; Zbl 0988.20024) Full Text: DOI
Azam, Saeid A presentation for reduced extended affine Weyl groups. (English) Zbl 0952.20028 Commun. Algebra 28, No. 1, 465-488 (2000). Reviewer: Chen Chengdong (Shanghai) MSC: 20F55 20F05 17B20 PDFBibTeX XMLCite \textit{S. Azam}, Commun. Algebra 28, No. 1, 465--488 (2000; Zbl 0952.20028) Full Text: DOI
Chen, Chengdong The distinguished involutions of the Weyl group of type \(E_6\). (English) Zbl 0949.20030 Commun. Algebra 28, No. 1, 193-208 (2000). Reviewer: Shi Jian-yi (Notre Dame) MSC: 20F55 20H15 20G05 PDFBibTeX XMLCite \textit{C. Chen}, Commun. Algebra 28, No. 1, 193--208 (2000; Zbl 0949.20030) Full Text: DOI
Hughes, Mervyn Extended root graphs for complex reflection groups. (English) Zbl 0938.20032 Commun. Algebra 27, No. 1, 119-148 (1999). Reviewer: Wim Malfait (Kortrijk) MSC: 20F55 05C25 20H15 51F15 PDFBibTeX XMLCite \textit{M. Hughes}, Commun. Algebra 27, No. 1, 119--148 (1999; Zbl 0938.20032) Full Text: DOI
Chen, Yu; Shi, Jian-Yi Left cells in the Weyl group of type \(E_7\). (English) Zbl 0916.20027 Commun. Algebra 26, No. 11, 3837-3852 (1998). Reviewer: Ye Jiachen (Shanghai) MSC: 20F55 20G05 20H15 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J.-Y. Shi}, Commun. Algebra 26, No. 11, 3837--3852 (1998; Zbl 0916.20027) Full Text: DOI
Can, Himmet Representations of the imprimitive complex reflection groups \(G(m,1,n)\). (English) Zbl 0938.20009 Commun. Algebra 26, No. 8, 2371-2393 (1998). Reviewer: L.N.Vaserstein and E.R.Wheland (University Park) MSC: 20C30 20F55 20H15 51F15 PDFBibTeX XMLCite \textit{H. Can}, Commun. Algebra 26, No. 8, 2371--2393 (1998; Zbl 0938.20009) Full Text: DOI
Paoluzzi, Luisa \(\text{PSL}(2,q)\) quotients of some hyperbolic tetrahedral and Coxeter groups. (English) Zbl 0907.20039 Commun. Algebra 26, No. 3, 759-778 (1998). Reviewer: D.McCullough (Norman) MSC: 20F55 20H15 57M50 57M60 53A35 57S25 20E36 PDFBibTeX XMLCite \textit{L. Paoluzzi}, Commun. Algebra 26, No. 3, 759--778 (1998; Zbl 0907.20039) Full Text: DOI
Bessis, David On the field of definition of a complex reflection group. (Sur le corps de définition d’un groupe de réflexions complexe.) (French) Zbl 0946.20024 Commun. Algebra 25, No. 8, 2703-2716 (1997). Reviewer: Chen Zhijie (Shanghai) MSC: 20G20 20F55 51F15 20C15 20G05 20H15 PDFBibTeX XMLCite \textit{D. Bessis}, Commun. Algebra 25, No. 8, 2703--2716 (1997; Zbl 0946.20024) Full Text: DOI
Bennama, H. The root system \(J_ 3[4]\) and the Klein quartic. (Le système de racines \(J_ 3 [4]\) et la quartique de Klein.) (French) Zbl 0860.14027 Commun. Algebra 24, No. 4, 1445-1458 (1996). Reviewer: V.V.Chueshev (Kemerovo) MSC: 14H40 20F55 PDFBibTeX XMLCite \textit{H. Bennama}, Commun. Algebra 24, No. 4, 1445--1458 (1996; Zbl 0860.14027) Full Text: DOI
Tong, Changqing Left cells in Weyl group of type \(E_ 6\). (English) Zbl 0836.20057 Commun. Algebra 23, No. 13, 5031-5047 (1995). Reviewer: Shi Jianyi (Shanghai) MSC: 20F55 20G05 PDFBibTeX XMLCite \textit{C. Tong}, Commun. Algebra 23, No. 13, 5031--5047 (1995; Zbl 0836.20057) Full Text: DOI
Bliss, John Gerald Axioms for infinite root systems. (English) Zbl 0836.17010 Commun. Algebra 23, No. 13, 4791-4819 (1995). Reviewer: J.Hilgert (Clausthal) MSC: 17B20 17B67 20F55 PDFBibTeX XMLCite \textit{J. G. Bliss}, Commun. Algebra 23, No. 13, 4791--4819 (1995; Zbl 0836.17010) Full Text: DOI
Chen, Chengdong Left cells with \(a\)-value 4 in the affine Weyl group of type \(\widetilde B_ n\). (English) Zbl 0827.20056 Commun. Algebra 23, No. 7, 2499-2515 (1995). Reviewer: Shi Jianyi (Shanghai) MSC: 20H15 20G05 20F55 PDFBibTeX XMLCite \textit{C. Chen}, Commun. Algebra 23, No. 7, 2499--2515 (1995; Zbl 0827.20056) Full Text: DOI
Burichenko, Vladimir P. On extensions of Coxeter groups. (English) Zbl 0829.20057 Commun. Algebra 23, No. 5, 1867-1897 (1995). Reviewer: A.A.Premet (Manchester) MSC: 20F55 20E22 20J05 PDFBibTeX XMLCite \textit{V. P. Burichenko}, Commun. Algebra 23, No. 5, 1867--1897 (1995; Zbl 0829.20057) Full Text: DOI
Humphreys, J. F. Character tables for the primitive finite unitary reflection groups. (English) Zbl 0830.20022 Commun. Algebra 22, No. 14, 5777-5802 (1994). MSC: 20C30 20F55 20G05 20C15 20C20 PDFBibTeX XMLCite \textit{J. F. Humphreys}, Commun. Algebra 22, No. 14, 5777--5802 (1994; Zbl 0830.20022) Full Text: DOI
Gomi, Yasushi Character tables of commutative Hecke algebras associated with finite Chevalley groups of exceptional type. (English) Zbl 0840.20010 Commun. Algebra 22, No. 11, 4361-4372 (1994). Reviewer: Ya.N.Nuzhin (Krasnoyarsk) MSC: 20C33 PDFBibTeX XMLCite \textit{Y. Gomi}, Commun. Algebra 22, No. 11, 4361--4372 (1994; Zbl 0840.20010) Full Text: DOI
Zhang, Xinfa Cell decomposition in the affine Weyl group \(W_ a(\widetilde B_ 4)\). (English) Zbl 0802.20038 Commun. Algebra 22, No. 6, 1955-1974 (1994). Reviewer: Shi Jianyi (Shanghai) MSC: 20G05 20H15 20F55 PDFBibTeX XMLCite \textit{X. Zhang}, Commun. Algebra 22, No. 6, 1955--1974 (1994; Zbl 0802.20038) Full Text: DOI
Tan, Lin On the distinguished coset representatives of the parabolic subgroups in finite Coxeter groups. (English) Zbl 0831.20052 Commun. Algebra 22, No. 3, 1049-1061 (1994). Reviewer: Chen Chengdong (Shanghai) MSC: 20F55 15A15 51F15 PDFBibTeX XMLCite \textit{L. Tan}, Commun. Algebra 22, No. 3, 1049--1061 (1994; Zbl 0831.20052) Full Text: DOI
Gomi, Yasushi Character tables of commutative Hecke algebras associated with exceptional Weyl groups. (English) Zbl 0820.20049 Commun. Algebra 22, No. 1, 123-138 (1994). Reviewer: A.Khammash (Makkah) MSC: 20G05 20C33 20F55 20C15 PDFBibTeX XMLCite \textit{Y. Gomi}, Commun. Algebra 22, No. 1, 123--138 (1994; Zbl 0820.20049) Full Text: DOI
Humphreys, J. F. The Schur multipliers of the representation groups of the irreducible finite reflection groups. (English) Zbl 0789.20011 Commun. Algebra 21, No. 9, 3385-3399 (1993). Reviewer: H.Opolka (Braunschweig) MSC: 20C25 20F55 PDFBibTeX XMLCite \textit{J. F. Humphreys}, Commun. Algebra 21, No. 9, 3385--3399 (1993; Zbl 0789.20011) Full Text: DOI
Cohen, Arjeh M.; Griess, Robert L. jun.; Lisser, Bert The group \(L(2,61)\) embeds in the Lie group of type \(E_ 8\). (English) Zbl 0805.20015 Commun. Algebra 21, No. 6, 1889-1907 (1993). Reviewer: J.F.Hurley (Storrs) MSC: 20D06 22E10 20G40 20D05 20E07 22E60 17B20 20E32 22E40 PDFBibTeX XMLCite \textit{A. M. Cohen} et al., Commun. Algebra 21, No. 6, 1889--1907 (1993; Zbl 0805.20015) Full Text: DOI
Theo, D.; McDonough, T. P. Projective characters of the rotation subgroup of the Weyl group of type \(F_ 4\). (English) Zbl 0819.20010 Commun. Algebra 21, No. 1, 1-11 (1993). Reviewer: A.O.Morris (Aberystwyth) MSC: 20C25 20F55 20G05 PDFBibTeX XMLCite \textit{D. Theo} and \textit{T. P. McDonough}, Commun. Algebra 21, No. 1, 1--11 (1993; Zbl 0819.20010) Full Text: DOI
Khammash, Ahmed A. Contravariant forms on representations of finite groups with split BN- pairs. (English) Zbl 0732.20025 Commun. Algebra 18, No. 6, 1961-1969 (1990). Reviewer: A.A.Khammash (Makkah) MSC: 20G05 20G40 20E42 20C20 PDFBibTeX XMLCite \textit{A. A. Khammash}, Commun. Algebra 18, No. 6, 1961--1969 (1990; Zbl 0732.20025) Full Text: DOI
Hughes, M. C. Complex reflection groups. (English) Zbl 0726.20028 Commun. Algebra 18, No. 12, 3999-4029 (1990). Reviewer: Huberta Lausch (Würzburg) MSC: 20F55 20H15 51F15 PDFBibTeX XMLCite \textit{M. C. Hughes}, Commun. Algebra 18, No. 12, 3999--4029 (1990; Zbl 0726.20028) Full Text: DOI
Heck, André A criterion for a triple (X,I,\(\mu\) ) to be a W-graph of a Coxeter group. (English) Zbl 0647.20050 Commun. Algebra 16, No. 10, 2083-2102 (1988). Reviewer: Shi Jianyi MSC: 20H15 20G05 20G15 05C25 PDFBibTeX XMLCite \textit{A. Heck}, Commun. Algebra 16, No. 10, 2083--2102 (1988; Zbl 0647.20050) Full Text: DOI
Du, Jie The decomposition into cells of the affine Weyl group of type \(B_ 3\). (English) Zbl 0644.20030 Commun. Algebra 16, No. 7, 1383-1409 (1988). Reviewer: Shi Jianyi MSC: 20H15 20G05 20G15 PDFBibTeX XMLCite \textit{J. Du}, Commun. Algebra 16, No. 7, 1383--1409 (1988; Zbl 0644.20030) Full Text: DOI
Deodhar, Vinay V. A splitting criterion for the Bruhat orderings on Coxeter groups. (English) Zbl 0631.20030 Commun. Algebra 15, 1889-1894 (1987). Reviewer: E.W.Ellers MSC: 20G20 PDFBibTeX XMLCite \textit{V. V. Deodhar}, Commun. Algebra 15, 1889--1894 (1987; Zbl 0631.20030) Full Text: DOI
Bédard, Robert Cells for two Coxeter groups. (English) Zbl 0608.20037 Commun. Algebra 14, 1253-1286 (1986). Reviewer: A.M.Cohen MSC: 20H15 20G05 PDFBibTeX XMLCite \textit{R. Bédard}, Commun. Algebra 14, 1253--1286 (1986; Zbl 0608.20037) Full Text: DOI
Albar, Muhammad A. Analogues of the braid group and their corresponding Coxeter groups. (English) Zbl 0591.20046 Commun. Algebra 12, 2977-2984 (1984). Reviewer: S.Moran MSC: 20F36 20F05 PDFBibTeX XMLCite \textit{M. A. Albar}, Commun. Algebra 12, 2977--2984 (1984; Zbl 0591.20046) Full Text: DOI