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Volumn 165, Issue 3, 2006, Pages 589-632

Rigid modules over preprojective algebras

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EID: 33746716162     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00222-006-0507-y     Document Type: Article
Times cited : (186)

References (40)
  • 1
    • 33746727003 scopus 로고    scopus 로고
    • edited and with a foreword by I. Reiten, S. Smalø, Ø. Solberg, Providence, RI: American Mathematical Society
    • Auslander, M.: Selected works of Maurice Auslander, part 1, edited and with a foreword by I. Reiten, S. Smalø, Ø. Solberg, xxii+895pp. Providence, RI: American Mathematical Society 1999
    • (1999) Selected Works of Maurice Auslander, Part 1
    • Auslander, M.1
  • 3
    • 0011899390 scopus 로고    scopus 로고
    • Representation theory of Artin algebras
    • Corrected reprint of the 1995 original. Cambridge: Cambridge University Press
    • Auslander, M., Reiten, I., Smalø, S.: Representation theory of Artin algebras. Corrected reprint of the 1995 original. Cambridge Studies in Advanced Mathematics, vol. 36, xiv+425pp. Cambridge: Cambridge University Press 1997
    • (1997) Cambridge Studies in Advanced Mathematics , vol.36
    • Auslander, M.1    Reiten, I.2    Smalø, S.3
  • 4
    • 12744281268 scopus 로고    scopus 로고
    • Cluster algebras III: Upper bounds and double Bruhat cells
    • Berenstein, A., Fomin, S., Zelevinsky, A.: Cluster algebras III: Upper bounds and double Bruhat cells. Duke Math. J. 126, 1-52 (2005)
    • (2005) Duke Math. J. , vol.126 , pp. 1-52
    • Berenstein, A.1    Fomin, S.2    Zelevinsky, A.3
  • 5
    • 84959848510 scopus 로고
    • Algebras and quadratic forms
    • Bongartz, K.: Algebras and quadratic forms. J. Lond. Math. Soc. 28, 461-469 (1983)
    • (1983) J. Lond. Math. Soc. , vol.28 , pp. 461-469
    • Bongartz, K.1
  • 6
    • 84878040907 scopus 로고    scopus 로고
    • Tilting theory and cluster combinatorics
    • accepted in, arXiv:math.RT/0402054
    • Buan, A., Marsh, R., Reineke, M., Reiten, I., Todorov, G.: Tilting theory and cluster combinatorics. 36 pp., accepted in Adv. Math., arXiv:math.RT/ 0402054
    • Adv. Math.
    • Buan, A.1    Marsh, R.2    Reineke, M.3    Reiten, I.4    Todorov, G.5
  • 7
  • 9
    • 0033070832 scopus 로고    scopus 로고
    • Minimal resolutions of algebras
    • Butler, M.C.R., King, A.D.: Minimal resolutions of algebras. J. Algebra 212, 323-362 (1999)
    • (1999) J. Algebra , vol.212 , pp. 323-362
    • Butler, M.C.R.1    King, A.D.2
  • 10
    • 33746777731 scopus 로고    scopus 로고
    • Cluster algebras as Hall algebras of quiver representations
    • accepted in, arXiv:math.RT/0410187
    • Caldero, P., Chapoton, P.: Cluster algebras as Hall algebras of quiver representations, 17 pp., accepted in Comment. Math. Helv., arXiv:math.RT/0410187
    • Comment. Math. Helv.
    • Caldero, P.1    Chapoton, P.2
  • 12
    • 0034288301 scopus 로고    scopus 로고
    • On the exceptional fibres of Kleinian singularities
    • Crawley-Boevey, W.: On the exceptional fibres of Kleinian singularities. Am. J. Math. 122, 1027-1037 (2000)
    • (2000) Am. J. Math. , vol.122 , pp. 1027-1037
    • Crawley-Boevey, W.1
  • 13
    • 0036004369 scopus 로고    scopus 로고
    • Cluster algebras. I. Foundations
    • Fomin, S., Zelevinsky, A.: Cluster algebras. I. Foundations. J. Am. Math. Soc. 15, 497-529 (2002)
    • (2002) J. Am. Math. Soc. , vol.15 , pp. 497-529
    • Fomin, S.1    Zelevinsky, A.2
  • 14
    • 0003025155 scopus 로고
    • Unzerlegbare darstellungen. I
    • correction, ibid 6, 309 (1972)
    • Gabriel, P.: Unzerlegbare Darstellungen. I (German). Manuscr. Math. 6, 71-103 (1972); correction, ibid 6, 309 (1972)
    • (1972) Manuscr. Math. , vol.6 , pp. 71-103
    • Gabriel, P.1
  • 18
    • 18144402021 scopus 로고    scopus 로고
    • Extension-orthogonal components of preprojective varieties
    • Geiß, C., Schröer, J.: Extension-orthogonal components of preprojective varieties. Trans. Am. Math. Soc. 357, 1953-1962 (2005)
    • (2005) Trans. Am. Math. Soc. , vol.357 , pp. 1953-1962
    • Geiß, C.1    Schröer, J.2
  • 19
    • 0002191027 scopus 로고
    • Model algebras and representations of graphs
    • Gelfand, I.M., Ponomarev, V.A.: Model algebras and representations of graphs (Russian). Punkts. Anal. Prilozh. 13, 1-12 (1979);
    • (1979) Punkts. Anal. Prilozh. , vol.13 , pp. 1-12
    • Gelfand, I.M.1    Ponomarev, V.A.2
  • 20
    • 0009294729 scopus 로고
    • English translation
    • English translation: Fund. Anal. Appl. 13 (1979), 157-166 (1979/1980)
    • (1979) Fund. Anal. Appl. , vol.13 , Issue.1979 , pp. 157-166
  • 22
    • 51249178397 scopus 로고
    • On the derived category of a finite-dimensional algebra
    • Happel, D.: On the derived category of a finite-dimensional algebra. Comment. Math. Helv. 62, 339-389 (1987)
    • (1987) Comment. Math. Helv. , vol.62 , pp. 339-389
    • Happel, D.1
  • 23
    • 0000633422 scopus 로고
    • Almost complete tilting modules
    • Happel, D., Unger, L.: Almost complete tilting modules. Proc. Am. Math. Soc. 107, 603-610 (1989)
    • (1989) Proc. Am. Math. Soc. , vol.107 , pp. 603-610
    • Happel, D.1    Unger, L.2
  • 24
    • 0003029620 scopus 로고
    • Notes on the no loops conjecture
    • Igusa, K.: Notes on the no loops conjecture. J. Pure Appl. Algebra 69, 161-176 (1990)
    • (1990) J. Pure Appl. Algebra , vol.69 , pp. 161-176
    • Igusa, K.1
  • 25
    • 0037385191 scopus 로고    scopus 로고
    • Finiteness of representation dimension
    • electronic
    • Iyama, O.: Finiteness of representation dimension. Proc. Am. Math. Soc. 131, 1011-1014 (2003) (electronic)
    • (2003) Proc. Am. Math. Soc. , vol.131 , pp. 1011-1014
    • Iyama, O.1
  • 28
    • 33746708688 scopus 로고    scopus 로고
    • Private communication. ICRA XI (Mexico), August
    • Iyama, O.: Private communication. ICRA XI (Mexico), August 2004
    • (2004)
    • Iyama, O.1
  • 29
    • 85166329447 scopus 로고    scopus 로고
    • On triangulated orbit categories
    • electronic
    • Keller, B.: On triangulated orbit categories. Doc. Math. 10, 551-581 (2005) (electronic)
    • (2005) Doc. Math. , vol.10 , pp. 551-581
    • Keller, B.1
  • 30
    • 0002605680 scopus 로고
    • Nilpotente elemente in ringen von endlicher globaler dimension
    • Lenzing, H.: Nilpotente Elemente in Ringen von endlicher globaler Dimension (German). Math. Z. 108, 313-324 (1969)
    • (1969) Math. Z. , vol.108 , pp. 313-324
    • Lenzing, H.1
  • 31
    • 84968494076 scopus 로고
    • Quivers, perverse sheaves, and quantized enveloping algebras
    • Lusztig, G.: Quivers, perverse sheaves, and quantized enveloping algebras. J. Am. Math. Soc. 4, 365-421 (1991)
    • (1991) J. Am. Math. Soc. , vol.4 , pp. 365-421
    • Lusztig, G.1
  • 32
    • 0031586416 scopus 로고    scopus 로고
    • Constructible functions on the Steinberg variety
    • Lusztig, G.: Constructible functions on the Steinberg variety. Adv. Math. 130, 287-310 (1997)
    • (1997) Adv. Math. , vol.130 , pp. 287-310
    • Lusztig, G.1
  • 33
    • 0000162295 scopus 로고    scopus 로고
    • Semicanonical bases arising from enveloping algebras
    • Lusztig, G.: Semicanonical bases arising from enveloping algebras. Adv. Math. 151, 129-139 (2000)
    • (2000) Adv. Math. , vol.151 , pp. 129-139
    • Lusztig, G.1
  • 34
    • 0000416514 scopus 로고
    • Degenerations for representations of quivers with relations
    • Riedtmann, C.: Degenerations for representations of quivers with relations. Ann. Sci. Éc. Norm. Super., IV. Sér,. 19, 275-301 (1986)
    • (1986) Ann. Sci. Éc. Norm. Super., IV. Sér,. , vol.19 , pp. 275-301
    • Riedtmann, C.1
  • 35
    • 38249016675 scopus 로고
    • On open orbits and their complements
    • Riedtmann, C. Schofield, A.: On open orbits and their complements. J. Algebra 130, 388-411 (1990)
    • (1990) J. Algebra , vol.130 , pp. 388-411
    • Riedtmann, C.1    Schofield, A.2
  • 36
    • 51249179176 scopus 로고
    • On a simplicial complex associated with tilting modules
    • Riedtmann, C., Schofield, A.: On a simplicial complex associated with tilting modules. Comment. Math. Helv. 66, 70-78 (1991)
    • (1991) Comment. Math. Helv. , vol.66 , pp. 70-78
    • Riedtmann, C.1    Schofield, A.2
  • 37
    • 0003033541 scopus 로고
    • Tame algebras and integral quadratic forms
    • Berlin: Springer
    • Ringel, C.M.: Tame algebras and integral quadratic forms. Lect. Notes Math., vol. 1099, xiii+376 pp. Berlin: Springer 1984
    • (1984) Lect. Notes Math. , vol.1099
    • Ringel, C.M.1
  • 38
    • 0000827429 scopus 로고
    • Hall algebras and quantum groups
    • Ringel, C.M.: Hall algebras and quantum groups. Invent. Math. 101, 583-591 (1990)
    • (1990) Invent. Math. , vol.101 , pp. 583-591
    • Ringel, C.M.1
  • 39
    • 0010299228 scopus 로고    scopus 로고
    • The preprojective algebra of a quiver. Algebras and modules, II
    • (Geiranger 1996), Providence, RI: Am. Math. Soc.
    • Ringel, C.M.: The preprojective algebra of a quiver. Algebras and modules, II (Geiranger 1996), pp. 467-480, CMS Conf. Proc., vol. 24. Providence, RI: Am. Math. Soc. 1998
    • (1998) CMS Conf. Proc. , vol.24 , pp. 467-480
    • Ringel, C.M.1
  • 40
    • 38249016940 scopus 로고
    • Schur modules over wild, finite-dimensional path algebras with three simple modules
    • Unger, L.: Schur modules over wild, finite-dimensional path algebras with three simple modules. J. Pure Appl. Algebra 64, 205-222 (1990)
    • (1990) J. Pure Appl. Algebra , vol.64 , pp. 205-222
    • Unger, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.