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Volumn 49, Issue 4, 1997, Pages 772-787

Finite dimensional representations of Ut(sl (2)) at roots of unity

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EID: 0039269198     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/cjm-1997-038-4     Document Type: Article
Times cited : (56)

References (25)
  • 2
    • 33646855447 scopus 로고
    • Representations of quantum algebras
    • H. H. Andersen, P. Polo and K. Wen, Representations of quantum algebras, Invent. Math. 104(1991), 1-59.
    • (1991) Invent. Math. , vol.104 , pp. 1-59
    • Andersen, H.H.1    Polo, P.2    Wen, K.3
  • 3
    • 84946619510 scopus 로고
    • Representation theory of artin algebras III: Almost split sequences
    • M. Auslander and I. Reiten, Representation theory of artin algebras III: almost split sequences, Comm. Algebra 3(1975), 239-294.
    • (1975) Comm. Algebra , vol.3 , pp. 239-294
    • Auslander, M.1    Reiten, I.2
  • 5
    • 0001334959 scopus 로고
    • Representations of quantum groups at roots of 1
    • C. De Concini and V. G. Kac, Representations of quantum groups at roots of 1, Progr. Math. 92(1990), 471-506.
    • (1990) Progr. Math. , vol.92 , pp. 471-506
    • De Concini, C.1    Kac, V.G.2
  • 6
    • 0003094115 scopus 로고
    • Indecomposable representations of graphs and algebras
    • V. Dlab and C. M. Ringel, Indecomposable representations of graphs and algebras, Mem. Amer. Math. Soc. 173(1976).
    • (1976) Mem. Amer. Math. Soc. , vol.173
    • Dlab, V.1    Ringel, C.M.2
  • 7
    • 0000911818 scopus 로고
    • Hopf algebras and quantum Yang-Baxter equation
    • V. G. Drinfeld, Hopf algebras and quantum Yang-Baxter equation, Soviet Math. Dokl. 32(1985), 254-258.
    • (1985) Soviet Math. Dokl. , vol.32 , pp. 254-258
    • Drinfeld, V.G.1
  • 8
    • 0000481618 scopus 로고
    • Quantum groups
    • Berkeley
    • _, Quantum groups, Proc. ICM, Berkeley, 1986, 798-820.
    • (1986) Proc. ICM , pp. 798-820
  • 9
    • 0002267010 scopus 로고
    • Auslander-Reiten sequences and representation-finite algebras
    • Springer
    • P. Gabriel, Auslander-Reiten sequences and representation-finite algebras, Springer, Lecture Notes in Math. 831, 1980, 1-71.
    • (1980) Lecture Notes in Math. , vol.831 , pp. 1-71
    • Gabriel, P.1
  • 10
    • 0003275895 scopus 로고
    • Triangulated categories in the representation theory of finite dimensional algebras
    • D. Happel, Triangulated categories in the representation theory of finite dimensional algebras, London Math. Soc. Lecture Note Ser. 119(1988).
    • (1988) London Math. Soc. Lecture Note Ser. , vol.119
    • Happel, D.1
  • 11
    • 0040323775 scopus 로고
    • A q-difference analogue of V(G) and the Yang-Baxter equation
    • M. Jimbo, A q-difference analogue of V(G) and the Yang-Baxter equation, Lett. Math. Phys. 10(1985), 63-69.
    • (1985) Lett. Math. Phys. , vol.10 , pp. 63-69
    • Jimbo, M.1
  • 12
    • 84912753296 scopus 로고
    • 2), q-orthogonal polynomials and invariants of links
    • Preprint
    • 2), q-orthogonal polynomials and invariants of links, Preprint LOMI (E) 9(1988).
    • (1988) LOMI (E) , vol.9
    • Kirillov, A.N.1    Reshetikhin, N.Yu.2
  • 13
    • 0001673424 scopus 로고
    • The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl (2, ℂ)
    • R. Kirby and P. Melvin, The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl (2, ℂ), Invent. Math. 105(1991), 473-545.
    • (1991) Invent. Math. , vol.105 , pp. 473-545
    • Kirby, R.1    Melvin, P.2
  • 15
    • 45449122603 scopus 로고
    • Quantum deformations of certain simple modules over enveloping algebras
    • G. Lusztig, Quantum deformations of certain simple modules over enveloping algebras, Adv. Math. 70(1988), 237-249.
    • (1988) Adv. Math. , vol.70 , pp. 237-249
    • Lusztig, G.1
  • 16
    • 0003033541 scopus 로고
    • Tame algebras and integral quadratic forms
    • Springer
    • C. M. Ringel, Tame algebras and integral quadratic forms, Springer, Lecture Notes in Math. 1099, 1984.
    • (1984) Lecture Notes in Math. , vol.1099
    • Ringel, C.M.1
  • 17
    • 34250094247 scopus 로고
    • Finite dimensional representations of the quantum analogue of the enveloping algebra of a complex simple Lie algebra
    • M. Rosso, Finite dimensional representations of the quantum analogue of the enveloping algebra of a complex simple Lie algebra, Comm. Math. Phys. 117(1988), 583-593.
    • (1988) Comm. Math. Phys. , vol.117 , pp. 583-593
    • Rosso, M.1
  • 18
    • 0041101659 scopus 로고
    • On the irreducible representations of a simple three-dimensional Lie algebra over afield of finite characteristic
    • A. N. Rudakov and I. R. Shafarevich, On the irreducible representations of a simple three-dimensional Lie algebra over afield of finite characteristic, Math. Notes 2(1967), 439-454.
    • (1967) Math. Notes , vol.2 , pp. 439-454
    • Rudakov, A.N.1    Shafarevich, I.R.2
  • 19
    • 34249960869 scopus 로고
    • Ribbon graphs and their invariants derived from quantum groups
    • N. Yu. Reshetikhin and V. G. Turaev, Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys. 127(1990), 1-26.
    • (1990) Comm. Math. Phys. , vol.127 , pp. 1-26
    • Reshetikhin, N.Yu.1    Turaev, V.G.2
  • 20
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link polynomials and quantum groups
    • _, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103(1991), 547-597.
    • (1991) Invent. Math. , vol.103 , pp. 547-597
  • 21
    • 0041101660 scopus 로고
    • Reducible P-representations of a simple three-dimensional Lie P-algebra
    • A. N. Rudakov, Reducible P-representations of a simple three-dimensional Lie P-algebra, Moscow Univ. Math. Bull. 37(1982), 51-56.
    • (1982) Moscow Univ. Math. Bull. , vol.37 , pp. 51-56
    • Rudakov, A.N.1
  • 23
    • 51249163180 scopus 로고
    • t(sl(2)) at t a root of unity
    • t(sl(2)) at t a root of unity, Manuscripta Math. 83(1994), 75-98.
    • (1994) Manuscripta Math. , vol.83 , pp. 75-98
    • Xiao, J.1
  • 24
    • 0040507590 scopus 로고
    • Restricted representations of U(sl(2))-quantizations
    • -, Restricted representations of U(sl(2))-quantizations, Algebra Colloq. (1)1(1994), 56-66.
    • (1994) Algebra Colloq. (1) , vol.1 , pp. 56-66
  • 25
    • 0009186631 scopus 로고
    • Weight modules and their extensions over a class of algebras similar to the enveloping algebra of sl(2, ℂ)
    • J. Xiao and F. Van Oystaeyen, Weight modules and their extensions over a class of algebras similar to the enveloping algebra of sl(2, ℂ), J. Algebra 175(1995), 844-864.
    • (1995) J. Algebra , vol.175 , pp. 844-864
    • Xiao, J.1    Van Oystaeyen, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.