메뉴 건너뛰기




Volumn 210, Issue 2, 2007, Pages 635-706

Configurations in abelian categories. II. Ringel-Hall algebras

Author keywords

Abelian category; Artin stack; Coherent sheaf; Configuration; Constructible function; Moduli space; Motivic; Quiver

Indexed keywords


EID: 33846918209     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2006.07.006     Document Type: Article
Times cited : (118)

References (25)
  • 1
    • 33846906071 scopus 로고
    • Representations and Cohomomology: I
    • Cambridge Univ. Press, Cambridge
    • Benson D.J. Representations and Cohomomology: I. Cambridge Stud. Adv. Math. vol. 30 (1995), Cambridge Univ. Press, Cambridge
    • (1995) Cambridge Stud. Adv. Math. , vol.30
    • Benson, D.J.1
  • 2
    • 0003214985 scopus 로고
    • Linear Algebraic Groups
    • Springer, New York
    • Borel A. Linear Algebraic Groups. Grad. Texts in Math. second ed. vol. 126 (1991), Springer, New York
    • (1991) Grad. Texts in Math. second ed. , vol.126
    • Borel, A.1
  • 3
    • 33846934555 scopus 로고    scopus 로고
    • Anneaux de Chow et applications, Séminaire C. Chevalley, 2e année, École Normale Supérieure, Secrétariat mathématique, Paris, 1958
  • 5
    • 1542539308 scopus 로고    scopus 로고
    • Affine Lie algebras and tame quivers
    • math.RT/0005119
    • Frenkel I., Malkin A., and Vybornov M. Affine Lie algebras and tame quivers. Selecta Math. 7 (2001) 1-56. math.RT/0005119
    • (2001) Selecta Math. , vol.7 , pp. 1-56
    • Frenkel, I.1    Malkin, A.2    Vybornov, M.3
  • 8
    • 0003198090 scopus 로고
    • Introduction to Lie Algebras and Representation Theory
    • Springer, New York
    • Humphreys J.E. Introduction to Lie Algebras and Representation Theory. Grad. Texts in Math. vol. 9 (1972), Springer, New York
    • (1972) Grad. Texts in Math. , vol.9
    • Humphreys, J.E.1
  • 9
    • 0002415212 scopus 로고
    • Quantum Groups and Their Primitive Ideals
    • Springer, Berlin
    • Joseph A. Quantum Groups and Their Primitive Ideals. Ergeb. Math. Grenzgeb. vol. 29 (1995), Springer, Berlin
    • (1995) Ergeb. Math. Grenzgeb. , vol.29
    • Joseph, A.1
  • 12
    • 33646338179 scopus 로고    scopus 로고
    • Configurations in abelian categories. I. Basic properties and moduli stacks
    • math.AG/0312190
    • Joyce D.D. Configurations in abelian categories. I. Basic properties and moduli stacks. Adv. Math. 203 (2006) 194-255. math.AG/0312190
    • (2006) Adv. Math. , vol.203 , pp. 194-255
    • Joyce, D.D.1
  • 15
    • 0003273558 scopus 로고
    • Infinite-dimensional Lie Algebras
    • Birkhäuser, Boston
    • Kac V.G. Infinite-dimensional Lie Algebras. Progr. Math. vol. 44 (1983), Birkhäuser, Boston
    • (1983) Progr. Math. , vol.44
    • Kac, V.G.1
  • 16
    • 0034399015 scopus 로고    scopus 로고
    • Kleinian singularities, derived categories and Hall algebras
    • math.AG/9812016
    • Kapranov M., and Vasserot E. Kleinian singularities, derived categories and Hall algebras. Math. Ann. 316 (2000) 565-576. math.AG/9812016
    • (2000) Math. Ann. , vol.316 , pp. 565-576
    • Kapranov, M.1    Vasserot, E.2
  • 17
    • 0033248127 scopus 로고    scopus 로고
    • Cycle groups for Artin stacks
    • math.AG/9810166
    • Kresch A. Cycle groups for Artin stacks. Invent. Math. 138 (1999) 495-536. math.AG/9810166
    • (1999) Invent. Math. , vol.138 , pp. 495-536
    • Kresch, A.1
  • 19
    • 84968494076 scopus 로고
    • Quivers, perverse sheaves and quantized enveloping algebras
    • Lusztig G. Quivers, perverse sheaves and quantized enveloping algebras. J. Amer. Math. Soc. 4 (1991) 365-421
    • (1991) J. Amer. Math. Soc. , vol.4 , pp. 365-421
    • Lusztig, G.1
  • 20
    • 84974003660 scopus 로고
    • Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
    • Nakajima H. Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras. Duke Math. J. 76 (1994) 365-416
    • (1994) Duke Math. J. , vol.76 , pp. 365-416
    • Nakajima, H.1
  • 21
    • 0001452593 scopus 로고
    • Lie algebras generated by indecomposables
    • Riedtmann C. Lie algebras generated by indecomposables. J. Algebra 170 (1994) 526-546
    • (1994) J. Algebra , vol.170 , pp. 526-546
    • Riedtmann, C.1
  • 22
    • 0003033541 scopus 로고
    • Tame Algebras and Integral Quadratic Forms
    • Springer, New York
    • Ringel C.M. Tame Algebras and Integral Quadratic Forms. Springer Lecture Notes in Math. vol. 1099 (1984), Springer, New York
    • (1984) Springer Lecture Notes in Math. , vol.1099
    • Ringel, C.M.1
  • 23
    • 0001632087 scopus 로고
    • Hall algebras
    • Topics in Algebra, Part 1. Balcerzyk S., et al. (Ed), Polish Acad. Sci., Warsaw
    • Ringel C.M. Hall algebras. In: Balcerzyk S., et al. (Ed). Topics in Algebra, Part 1. Banach Centre Publ. vol. 26 (1990), Polish Acad. Sci., Warsaw 433-447
    • (1990) Banach Centre Publ. , vol.26 , pp. 433-447
    • Ringel, C.M.1
  • 24
    • 0000827429 scopus 로고
    • Hall algebras and quantum groups
    • Ringel C.M. Hall algebras and quantum groups. Invent. Math. 101 (1990) 583-592
    • (1990) Invent. Math. , vol.101 , pp. 583-592
    • Ringel, C.M.1
  • 25
    • 0000141016 scopus 로고
    • Lie algebras arising in representation theory
    • Representations of Algebras and Related Topics. Tachikawa H., and Brenner S. (Eds), Cambridge Univ. Press
    • Ringel C.M. Lie algebras arising in representation theory. In: Tachikawa H., and Brenner S. (Eds). Representations of Algebras and Related Topics. London Math. Soc. Lecture Note Ser. vol. 168 (1992), Cambridge Univ. Press 284-291
    • (1992) London Math. Soc. Lecture Note Ser. , vol.168 , pp. 284-291
    • Ringel, C.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.