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Volumn 2000, Issue 8, 2000, Pages 413-440

The Hall Algebra of a Cyclic Quiver and Canonical Bases of Fock Spaces

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EID: 0001057520     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792800000234     Document Type: Article
Times cited : (31)

References (26)
  • 2
    • 0001322565 scopus 로고
    • Hall algebras, hereditary algebras and quantum groups
    • [Gr]
    • [Gr] J. Green, Hall algebras, hereditary algebras and quantum groups, Invent. Math. 120 (1995), 361-377.
    • (1995) Invent. Math. , vol.120 , pp. 361-377
    • Green, J.1
  • 3
    • 0000160420 scopus 로고    scopus 로고
    • Universal PBW-basis of Hall-Ringel algebras and Hall polynomials
    • [GP]
    • [GP] J. Y. Guo and L. Peng, Universal PBW-basis of Hall-Ringel algebras and Hall polynomials, J. Algebra 198 (1997), 339-351.
    • (1997) J. Algebra , vol.198 , pp. 339-351
    • Guo, J.Y.1    Peng, L.2
  • 4
    • 33845725844 scopus 로고
    • Q-analogues of Clifford and Weyl algebras - Spinor and oscillator representations of quantum enveloping algebras
    • [H]
    • [H] T, Hayashi, q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras, Comm. Math. Phys, 127 (1990), 129-144.
    • (1990) Comm. Math. Phys , vol.127 , pp. 129-144
    • Hayashi, T.1
  • 6
    • 84974000954 scopus 로고
    • On crystal bases of the q-analogue of universal enveloping algebras
    • [K]
    • [K] M. Kashiwara, On crystal bases of the q-analogue of universal enveloping algebras, Duke Math J. 63 (1991), 465-516.
    • (1991) Duke Math J. , vol.63 , pp. 465-516
    • Kashiwara, M.1
  • 7
    • 34249760045 scopus 로고
    • Decomposition of q-deformed Fock spaces
    • [KMS] N.S.
    • [KMS] M. Kashiwara, T. Miwa, and E. Stern, Decomposition of q-deformed Fock spaces, Selecta Math. (N.S.) 1 (1995), 787-805.
    • (1995) Selecta Math. , vol.1 , pp. 787-805
    • Kashiwara, M.1    Miwa, T.2    Stern, E.3
  • 8
    • 84974003819 scopus 로고
    • Kazhdan-Lusztig conjecture for affine Lie algebras with negative level
    • [KT]
    • [KT] M. Kashiwara and T. Tanisaki, Kazhdan-Lusztig conjecture for affine Lie algebras with negative level, Duke Math. J. 77 (1995), 21-62.
    • (1995) Duke Math. J. , vol.77 , pp. 21-62
    • Kashiwara, M.1    Tanisaki, T.2
  • 10
    • 0001018621 scopus 로고
    • Number of points of varieties in finite fields
    • [LW]
    • [LW] S. Lang and A. Weil, Number of points of varieties in finite fields, Amer. J. Math. 76 (1954), 819-827.
    • (1954) Amer. J. Math. , vol.76 , pp. 819-827
    • Lang, S.1    Weil, A.2
  • 11
    • 0001386626 scopus 로고    scopus 로고
    • Hecke algebras at roots of unity and crystal bases of quantum affine algebras
    • [LLT1]
    • [LLT1] A. Lascoux, B. Leclerc, and J.-Y. Thibon, Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Comm. Math. Phys. 181 (1996), 205-263.
    • (1996) Comm. Math. Phys. , vol.181 , pp. 205-263
    • Lascoux, A.1    Leclerc, B.2    Thibon, J.-Y.3
  • 12
    • 0031543089 scopus 로고    scopus 로고
    • Ribbon tableaux, Hall-Littlewood functions, quantum affine algebras, and unipotent varieties
    • [LLT2]
    • [LLT2] _, Ribbon tableaux, Hall-Littlewood functions, quantum affine algebras, and unipotent varieties, J. Math. Phys. 38 (1997), 1041-1068.
    • (1997) J. Math. Phys. , vol.38 , pp. 1041-1068
  • 17
    • 84968495738 scopus 로고
    • Canonical bases arising from quantized enveloping algebras, I
    • [L1]
    • [L1] G. Lusztig, Canonical bases arising from quantized enveloping algebras, I, J. Amer. Math. Soc. 3 (1990), 447-498.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 447-498
    • Lusztig, G.1
  • 18
    • 84968494076 scopus 로고
    • Quivers, perverse sheaves, and quantized enveloping algebras
    • [L2]
    • [L2] _, 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
  • 19
    • 51249161689 scopus 로고
    • Affine quivers and canonical bases
    • [L3]
    • [L3] _, Affine quivers and canonical bases, Inst. Hautes Études Sci. Publ. Math. 76 (1992), 111-163.
    • (1992) Inst. Hautes Études Sci. Publ. Math. , vol.76 , pp. 111-163
  • 20
    • 0004129138 scopus 로고
    • Introduction to Quantum Groups
    • [L4] Birkhäuser, Boston
    • [L4] _, Introduction to Quantum Groups, Progr. Math. 110, Birkhäuser, Boston, 1993.
    • (1993) Progr. Math. , vol.110
  • 22
    • 0001632087 scopus 로고
    • Hall algebras
    • [R1] Topics in Algebra (Warsaw), Part 1, Polish Acad. Sci., Warsaw
    • [R1] G. M. Ringel, "Hall algebras" in Topics in Algebra (Warsaw, 1988),Part 1, Banach Center Publ. 26, Part 1, Polish Acad. Sci., Warsaw, 1990, 433-447.
    • (1988) Banach Center Publ. , vol.26 , Issue.PART 1 , pp. 433-447
    • Ringel, G.M.1
  • 23
    • 84963002139 scopus 로고
    • n
    • n, Proc. London Math. Soc. (3) 66 (1993), 507-537.
    • (1993) Proc. London Math. Soc. , vol.66 , Issue.3 , pp. 507-537
  • 26
    • 0033570875 scopus 로고    scopus 로고
    • On the decomposition matrices of the quantized Schur algebra
    • [VV]
    • [VV] M. Varagnolo and E. Vasserot, On the decomposition matrices of the quantized Schur algebra, Duke Math. J. 100 (1999), 267-297.
    • (1999) Duke Math. J. , vol.100 , pp. 267-297
    • Varagnolo, M.1    Vasserot, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.