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Volumn 56, Issue 3-4, 2007, Pages 411-437

Sortable elements and Cambrian lattices

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EID: 34249880527     PISSN: 00025240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00012-007-2009-1     Document Type: Article
Times cited : (98)

References (24)
  • 1
    • 0002329251 scopus 로고
    • Coxeter functors, and Gabriel's theorem
    • I. Bernšteǐn, I. Gel'fand and V. Ponomarev, Coxeter functors, and Gabriel's theorem, Uspehi Mat. Nauk 28 (1973) no. 2(170), 19-33.
    • (1973) Uspehi Mat. Nauk , vol.28 , Issue.2 170 , pp. 19-33
    • Bernšteǐn, I.1    Gel'fand, I.2    Ponomarev, V.3
  • 2
    • 34249907680 scopus 로고    scopus 로고
    • English translation in Russian Math. Surveys 28 (1973), no. 2, 17-32.
    • English translation in Russian Math. Surveys 28 (1973), no. 2, 17-32.
  • 3
  • 4
    • 0000884168 scopus 로고
    • Orderings of Coxeter groups
    • A. Björner, Orderings of Coxeter groups, Contemp. Math. 34 (1984) 175-195.
    • (1984) Contemp. Math , vol.34 , pp. 175-195
    • Björner, A.1
  • 8
    • 3142738728 scopus 로고    scopus 로고
    • N. Caspard, C. Le Conte de Poly-Barbut and M. Morvan, Cayley lattices of finite Coxeter groups are bounded, Adv. in Appl. Math. 33 (2004), no. 1, 71-94.
    • N. Caspard, C. Le Conte de Poly-Barbut and M. Morvan, Cayley lattices of finite Coxeter groups are bounded, Adv. in Appl. Math. 33 (2004), no. 1, 71-94.
  • 9
    • 0141549792 scopus 로고    scopus 로고
    • Congruences in Ordered Sets
    • I. Chajda and V. Snášel, Congruences in Ordered Sets, Math. Bohem. 123 (1998) no. 1, 95-100.
    • (1998) Math. Bohem , vol.123 , Issue.1 , pp. 95-100
    • Chajda, I.1    Snášel, V.2
  • 10
    • 0346491084 scopus 로고
    • On permutation lattices
    • V. Duquenne and A. Cherfouh, On permutation lattices, Math. Social Sci. 27 (1994), no. 1, 73-89.
    • (1994) Math. Social Sci , vol.27 , Issue.1 , pp. 73-89
    • Duquenne, V.1    Cherfouh, A.2
  • 11
    • 0347188734 scopus 로고    scopus 로고
    • Y-systems and generalized associahedra
    • S. Fomin and A. Zelevinsky, Y-systems and generalized associahedra, Ann. of Math. 158 (2003), 977-1018.
    • (2003) Ann. of Math , vol.1 , Issue.58 , pp. 977-1018
    • Fomin, S.1    Zelevinsky, A.2
  • 12
    • 0141457388 scopus 로고    scopus 로고
    • Cluster algebras. II. Finite type classification
    • S. Fomin and A. Zelevinsky, Cluster algebras. II. Finite type classification, Invent. Math. 154 (2003), no. 1, 63-121.
    • (2003) Invent. Math , vol.154 , Issue.1 , pp. 63-121
    • Fomin, S.1    Zelevinsky, A.2
  • 13
    • 0004277741 scopus 로고    scopus 로고
    • Second edition, Birkhäuser Verlag, Basel
    • G. Grätzer, General lattice theory, Second edition, Birkhäuser Verlag, Basel, 1998.
    • (1998) General lattice theory
    • Grätzer, G.1
  • 15
    • 0347751795 scopus 로고
    • Permutation lattices revisited
    • G. Markowsky, Permutation lattices revisited, Math. Social Sci. 27 (1994), no. 1, 59-72.
    • (1994) Math. Social Sci , vol.27 , Issue.1 , pp. 59-72
    • Markowsky, G.1
  • 16
    • 0141465264 scopus 로고    scopus 로고
    • Order dimension, strong Bruhat order and lattice properties for posets
    • N. Reading, Order dimension, strong Bruhat order and lattice properties for posets, Order 19 (2002) no. 1, 73-100.
    • (2002) Order , vol.19 , Issue.1 , pp. 73-100
    • Reading, N.1
  • 17
    • 1542508681 scopus 로고    scopus 로고
    • Lattice and order properties of the poset of regions in a hyperplane arrangement
    • N. Reading, Lattice and order properties of the poset of regions in a hyperplane arrangement, Algebra Universalis, 50 (2003), 179-205.
    • (2003) Algebra Universalis , vol.50 , pp. 179-205
    • Reading, N.1
  • 18
    • 0347534178 scopus 로고    scopus 로고
    • The order dimension of the poset of regions in a hyperplane arrangement
    • N. Reading, The order dimension of the poset of regions in a hyperplane arrangement, J. Combin. Theory Ser. A, 104 (2003) no. 2, 265-285.
    • (2003) J. Combin. Theory Ser. A , vol.104 , Issue.2 , pp. 265-285
    • Reading, N.1
  • 19
    • 26244439459 scopus 로고    scopus 로고
    • Lattice congruences of the weak order
    • N. Reading, Lattice congruences of the weak order, Order 21 (2004) no. 4, 315-344.
    • (2004) Order , vol.21 , Issue.4 , pp. 315-344
    • Reading, N.1
  • 20
    • 18144379891 scopus 로고    scopus 로고
    • Lattice congruences, fans and Hopf algebras
    • N. Reading, Lattice congruences, fans and Hopf algebras, J. Combin. Theory Ser. A 110 (2005) no. 2, 237-273.
    • (2005) J. Combin. Theory Ser. A , vol.110 , Issue.2 , pp. 237-273
    • Reading, N.1
  • 21
    • 33747165281 scopus 로고    scopus 로고
    • Cambrian Lattices
    • N. Reading, Cambrian Lattices, Adv. Math. 205 (2006) no. 2, 313-353.
    • (2006) Adv. Math , vol.205 , Issue.2 , pp. 313-353
    • Reading, N.1
  • 22
    • 34249905561 scopus 로고    scopus 로고
    • Clusters, Coxeter-sortable elements and noncrossing partitions, (math.CO/0507186)
    • to appear
    • N. Reading, Clusters, Coxeter-sortable elements and noncrossing partitions, (math.CO/0507186), Trans. Amer. Math. Soc., to appear.
    • Trans. Amer. Math. Soc
    • Reading, N.1
  • 23
    • 34249889161 scopus 로고    scopus 로고
    • Cambrian Fans, (math.CO/0606201)
    • preprint
    • N. Reading and D. Speyer, Cambrian Fans, (math.CO/0606201), preprint, 2006.
    • (2006)
    • Reading, N.1    Speyer, D.2
  • 24
    • 0000133875 scopus 로고    scopus 로고
    • The enumeration of Coxeter elements
    • J. Shi, The enumeration of Coxeter elements, J. Algebraic Combin. 6 (1997), no. 2, 161-171.
    • (1997) J. Algebraic Combin , vol.6 , Issue.2 , pp. 161-171
    • Shi, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.